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Finding the Fourth Proportional to 117,418, 176,090.04 and 38,513.88

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Solution

The fourth proportional to 117,418, 176,090.04 and 38,513.88 is: 57,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,418 : 176,090.04 = 38,513.88 : x
  2. Step 2: Convert to fraction form
    117,418/176,090.04 = 38,513.88/x
  3. Step 3: Cross multiply
    117,418x = 176,090.04 × 38,513.88
  4. Step 4: Simplify right side
    117,418x = 6,781,910,669.76
  5. Step 5: Solve for x
    x = 6,781,910,669.76/117,418
  6. Step 6: Final answer
    x = 57,758.70

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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.