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Finding the Fourth Proportional to 156,659.60, 235,062.30 and 81,864.20

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Solution

The fourth proportional to 156,659.60, 235,062.30 and 81,864.20 is: 122,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,659.60 : 235,062.30 = 81,864.20 : x
  2. Step 2: Convert to fraction form
    156,659.60/235,062.30 = 81,864.20/x
  3. Step 3: Cross multiply
    156,659.60x = 235,062.30 × 81,864.20
  4. Step 4: Simplify right side
    156,659.60x = 19,243,187,139.66
  5. Step 5: Solve for x
    x = 19,243,187,139.66/156,659.60
  6. Step 6: Final answer
    x = 122,834.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.