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Finding the Fourth Proportional to 74,858.16, 103,306.14 and 42,591

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Solution

The fourth proportional to 74,858.16, 103,306.14 and 42,591 is: 58,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,858.16 : 103,306.14 = 42,591 : x
  2. Step 2: Convert to fraction form
    74,858.16/103,306.14 = 42,591/x
  3. Step 3: Cross multiply
    74,858.16x = 103,306.14 × 42,591
  4. Step 4: Simplify right side
    74,858.16x = 4,399,911,808.74
  5. Step 5: Solve for x
    x = 4,399,911,808.74/74,858.16
  6. Step 6: Final answer
    x = 58,776.65

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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.