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Finding the Fourth Proportional to 206,677,804.70, 310,016,707.05 and 91,886,548.70

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Solution

The fourth proportional to 206,677,804.70, 310,016,707.05 and 91,886,548.70 is: 137,829,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,677,804.70 : 310,016,707.05 = 91,886,548.70 : x
  2. Step 2: Convert to fraction form
    206,677,804.70/310,016,707.05 = 91,886,548.70/x
  3. Step 3: Cross multiply
    206,677,804.70x = 310,016,707.05 × 91,886,548.70
  4. Step 4: Simplify right side
    206,677,804.70x = 28,486,365,250,163,460
  5. Step 5: Solve for x
    x = 28,486,365,250,163,460/206,677,804.70
  6. Step 6: Final answer
    x = 137,829,823.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.