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Finding the Fourth Proportional to 150,547.70, 207,740.85 and 86,906.00

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Solution

The fourth proportional to 150,547.70, 207,740.85 and 86,906.00 is: 119,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.70 : 207,740.85 = 86,906.00 : x
  2. Step 2: Convert to fraction form
    150,547.70/207,740.85 = 86,906.00/x
  3. Step 3: Cross multiply
    150,547.70x = 207,740.85 × 86,906.00
  4. Step 4: Simplify right side
    150,547.70x = 18,053,926,008.01
  5. Step 5: Solve for x
    x = 18,053,926,008.01/150,547.70
  6. Step 6: Final answer
    x = 119,921.63

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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.