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Finding the Fourth Proportional to 156,154.74, 215,493.48 and 84,534.71

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Solution

The fourth proportional to 156,154.74, 215,493.48 and 84,534.71 is: 116,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,154.74 : 215,493.48 = 84,534.71 : x
  2. Step 2: Convert to fraction form
    156,154.74/215,493.48 = 84,534.71/x
  3. Step 3: Cross multiply
    156,154.74x = 215,493.48 × 84,534.71
  4. Step 4: Simplify right side
    156,154.74x = 18,216,677,761.22
  5. Step 5: Solve for x
    x = 18,216,677,761.22/156,154.74
  6. Step 6: Final answer
    x = 116,657.86

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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.