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Finding the Fourth Proportional to 156,308.70, 215,695.80 and 99,714

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Solution

The fourth proportional to 156,308.70, 215,695.80 and 99,714 is: 137,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,308.70 : 215,695.80 = 99,714 : x
  2. Step 2: Convert to fraction form
    156,308.70/215,695.80 = 99,714/x
  3. Step 3: Cross multiply
    156,308.70x = 215,695.80 × 99,714
  4. Step 4: Simplify right side
    156,308.70x = 21,507,891,001.20
  5. Step 5: Solve for x
    x = 21,507,891,001.20/156,308.70
  6. Step 6: Final answer
    x = 137,598.81

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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.