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Finding the Fourth Proportional to 162,129.76, 223,742.85 and 101,702.95

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Solution

The fourth proportional to 162,129.76, 223,742.85 and 101,702.95 is: 140,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,129.76 : 223,742.85 = 101,702.95 : x
  2. Step 2: Convert to fraction form
    162,129.76/223,742.85 = 101,702.95/x
  3. Step 3: Cross multiply
    162,129.76x = 223,742.85 × 101,702.95
  4. Step 4: Simplify right side
    162,129.76x = 22,755,307,886.41
  5. Step 5: Solve for x
    x = 22,755,307,886.41/162,129.76
  6. Step 6: Final answer
    x = 140,352.44

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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.