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Finding the Fourth Proportional to 86,328.81, 129,459.20 and 41,942.43

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Solution

The fourth proportional to 86,328.81, 129,459.20 and 41,942.43 is: 62,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,328.81 : 129,459.20 = 41,942.43 : x
  2. Step 2: Convert to fraction form
    86,328.81/129,459.20 = 41,942.43/x
  3. Step 3: Cross multiply
    86,328.81x = 129,459.20 × 41,942.43
  4. Step 4: Simplify right side
    86,328.81x = 5,429,833,224.14
  5. Step 5: Solve for x
    x = 5,429,833,224.14/86,328.81
  6. Step 6: Final answer
    x = 62,897.12

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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.