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Finding the Fourth Proportional to 86,232.64, 129,416 and 39,488.16

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Solution

The fourth proportional to 86,232.64, 129,416 and 39,488.16 is: 59,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,232.64 : 129,416 = 39,488.16 : x
  2. Step 2: Convert to fraction form
    86,232.64/129,416 = 39,488.16/x
  3. Step 3: Cross multiply
    86,232.64x = 129,416 × 39,488.16
  4. Step 4: Simplify right side
    86,232.64x = 5,110,399,714.56
  5. Step 5: Solve for x
    x = 5,110,399,714.56/86,232.64
  6. Step 6: Final answer
    x = 59,262.94

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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.