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Finding the Fourth Proportional to 138,842.57, 208,341.56 and 75,666.98

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Solution

The fourth proportional to 138,842.57, 208,341.56 and 75,666.98 is: 113,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,842.57 : 208,341.56 = 75,666.98 : x
  2. Step 2: Convert to fraction form
    138,842.57/208,341.56 = 75,666.98/x
  3. Step 3: Cross multiply
    138,842.57x = 208,341.56 × 75,666.98
  4. Step 4: Simplify right side
    138,842.57x = 15,764,577,363.71
  5. Step 5: Solve for x
    x = 15,764,577,363.71/138,842.57
  6. Step 6: Final answer
    x = 113,542.82

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1.5x scale

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.