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Finding the Fourth Proportional to 206,804.56, 310,061.98 and 105,633.40

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Solution

The fourth proportional to 206,804.56, 310,061.98 and 105,633.40 is: 158,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.56 : 310,061.98 = 105,633.40 : x
  2. Step 2: Convert to fraction form
    206,804.56/310,061.98 = 105,633.40/x
  3. Step 3: Cross multiply
    206,804.56x = 310,061.98 × 105,633.40
  4. Step 4: Simplify right side
    206,804.56x = 32,752,901,158.13
  5. Step 5: Solve for x
    x = 32,752,901,158.13/206,804.56
  6. Step 6: Final answer
    x = 158,376.11

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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.