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Finding the Fourth Proportional to 138,513.60, 207,776.64 and 42,443.76

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Solution

The fourth proportional to 138,513.60, 207,776.64 and 42,443.76 is: 63,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,513.60 : 207,776.64 = 42,443.76 : x
  2. Step 2: Convert to fraction form
    138,513.60/207,776.64 = 42,443.76/x
  3. Step 3: Cross multiply
    138,513.60x = 207,776.64 × 42,443.76
  4. Step 4: Simplify right side
    138,513.60x = 8,818,821,841.77
  5. Step 5: Solve for x
    x = 8,818,821,841.77/138,513.60
  6. Step 6: Final answer
    x = 63,667.55

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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.