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Finding the Fourth Proportional to 156,305.70, 215,691.66 and 99,711

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Solution

The fourth proportional to 156,305.70, 215,691.66 and 99,711 is: 137,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,305.70 : 215,691.66 = 99,711 : x
  2. Step 2: Convert to fraction form
    156,305.70/215,691.66 = 99,711/x
  3. Step 3: Cross multiply
    156,305.70x = 215,691.66 × 99,711
  4. Step 4: Simplify right side
    156,305.70x = 21,506,831,110.26
  5. Step 5: Solve for x
    x = 21,506,831,110.26/156,305.70
  6. Step 6: Final answer
    x = 137,594.67

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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.