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Finding the Fourth Proportional to 69,138.38, 103,795.10 and 42,418.71

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Solution

The fourth proportional to 69,138.38, 103,795.10 and 42,418.71 is: 63,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.38 : 103,795.10 = 42,418.71 : x
  2. Step 2: Convert to fraction form
    69,138.38/103,795.10 = 42,418.71/x
  3. Step 3: Cross multiply
    69,138.38x = 103,795.10 × 42,418.71
  4. Step 4: Simplify right side
    69,138.38x = 4,402,854,034.23
  5. Step 5: Solve for x
    x = 4,402,854,034.23/69,138.38
  6. Step 6: Final answer
    x = 63,681.77

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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.