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Finding the Fourth Proportional to 156,475.76, 215,934.63 and 84,854.91

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Solution

The fourth proportional to 156,475.76, 215,934.63 and 84,854.91 is: 117,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,475.76 : 215,934.63 = 84,854.91 : x
  2. Step 2: Convert to fraction form
    156,475.76/215,934.63 = 84,854.91/x
  3. Step 3: Cross multiply
    156,475.76x = 215,934.63 × 84,854.91
  4. Step 4: Simplify right side
    156,475.76x = 18,323,113,594.53
  5. Step 5: Solve for x
    x = 18,323,113,594.53/156,475.76
  6. Step 6: Final answer
    x = 117,098.74

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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.