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Finding the Fourth Proportional to 103,507.62, 142,824.49 and 58,177.18

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Solution

The fourth proportional to 103,507.62, 142,824.49 and 58,177.18 is: 80,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,507.62 : 142,824.49 = 58,177.18 : x
  2. Step 2: Convert to fraction form
    103,507.62/142,824.49 = 58,177.18/x
  3. Step 3: Cross multiply
    103,507.62x = 142,824.49 × 58,177.18
  4. Step 4: Simplify right side
    103,507.62x = 8,309,126,063.14
  5. Step 5: Solve for x
    x = 8,309,126,063.14/103,507.62
  6. Step 6: Final answer
    x = 80,275.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.