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Finding the Fourth Proportional to 207,145.32, 285,899.79 and 129,656.90

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Solution

The fourth proportional to 207,145.32, 285,899.79 and 129,656.90 is: 178,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,145.32 : 285,899.79 = 129,656.90 : x
  2. Step 2: Convert to fraction form
    207,145.32/285,899.79 = 129,656.90/x
  3. Step 3: Cross multiply
    207,145.32x = 285,899.79 × 129,656.90
  4. Step 4: Simplify right side
    207,145.32x = 37,068,881,683.01
  5. Step 5: Solve for x
    x = 37,068,881,683.01/207,145.32
  6. Step 6: Final answer
    x = 178,951.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.