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Finding the Fourth Proportional to 102,532.80, 153,842.40 and 55,819.20

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Solution

The fourth proportional to 102,532.80, 153,842.40 and 55,819.20 is: 83,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532.80 : 153,842.40 = 55,819.20 : x
  2. Step 2: Convert to fraction form
    102,532.80/153,842.40 = 55,819.20/x
  3. Step 3: Cross multiply
    102,532.80x = 153,842.40 × 55,819.20
  4. Step 4: Simplify right side
    102,532.80x = 8,587,359,694.08
  5. Step 5: Solve for x
    x = 8,587,359,694.08/102,532.80
  6. Step 6: Final answer
    x = 83,752.32

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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.