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Finding the Fourth Proportional to 113,645, 156,830.10 and 63,344

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Solution

The fourth proportional to 113,645, 156,830.10 and 63,344 is: 87,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,645 : 156,830.10 = 63,344 : x
  2. Step 2: Convert to fraction form
    113,645/156,830.10 = 63,344/x
  3. Step 3: Cross multiply
    113,645x = 156,830.10 × 63,344
  4. Step 4: Simplify right side
    113,645x = 9,934,245,854.40
  5. Step 5: Solve for x
    x = 9,934,245,854.40/113,645
  6. Step 6: Final answer
    x = 87,414.72

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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.