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Finding the Fourth Proportional to 102,612, 153,805.92 and 65,188.80

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Solution

The fourth proportional to 102,612, 153,805.92 and 65,188.80 is: 97,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,612 : 153,805.92 = 65,188.80 : x
  2. Step 2: Convert to fraction form
    102,612/153,805.92 = 65,188.80/x
  3. Step 3: Cross multiply
    102,612x = 153,805.92 × 65,188.80
  4. Step 4: Simplify right side
    102,612x = 10,026,423,357.70
  5. Step 5: Solve for x
    x = 10,026,423,357.70/102,612
  6. Step 6: Final answer
    x = 97,712.00

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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.