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Finding the Fourth Proportional to 75,147.72, 103,702.88 and 42,881.58

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Solution

The fourth proportional to 75,147.72, 103,702.88 and 42,881.58 is: 59,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,147.72 : 103,702.88 = 42,881.58 : x
  2. Step 2: Convert to fraction form
    75,147.72/103,702.88 = 42,881.58/x
  3. Step 3: Cross multiply
    75,147.72x = 103,702.88 × 42,881.58
  4. Step 4: Simplify right side
    75,147.72x = 4,446,943,344.95
  5. Step 5: Solve for x
    x = 4,446,943,344.95/75,147.72
  6. Step 6: Final answer
    x = 59,176.02

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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.