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Finding the Fourth Proportional to 207,788.70, 310,905.45 and 137,804.70

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Solution

The fourth proportional to 207,788.70, 310,905.45 and 137,804.70 is: 206,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,788.70 : 310,905.45 = 137,804.70 : x
  2. Step 2: Convert to fraction form
    207,788.70/310,905.45 = 137,804.70/x
  3. Step 3: Cross multiply
    207,788.70x = 310,905.45 × 137,804.70
  4. Step 4: Simplify right side
    207,788.70x = 42,844,232,265.62
  5. Step 5: Solve for x
    x = 42,844,232,265.62/207,788.70
  6. Step 6: Final answer
    x = 206,191.35

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1.5x scale

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.