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Finding the Fourth Proportional to 86,593.81, 129,898.07 and 30,429.06

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Solution

The fourth proportional to 86,593.81, 129,898.07 and 30,429.06 is: 45,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,593.81 : 129,898.07 = 30,429.06 : x
  2. Step 2: Convert to fraction form
    86,593.81/129,898.07 = 30,429.06/x
  3. Step 3: Cross multiply
    86,593.81x = 129,898.07 × 30,429.06
  4. Step 4: Simplify right side
    86,593.81x = 3,952,676,165.91
  5. Step 5: Solve for x
    x = 3,952,676,165.91/86,593.81
  6. Step 6: Final answer
    x = 45,646.17

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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.