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Finding the Fourth Proportional to 156,624.60, 235,009.80 and 81,829.20

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Solution

The fourth proportional to 156,624.60, 235,009.80 and 81,829.20 is: 122,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,624.60 : 235,009.80 = 81,829.20 : x
  2. Step 2: Convert to fraction form
    156,624.60/235,009.80 = 81,829.20/x
  3. Step 3: Cross multiply
    156,624.60x = 235,009.80 × 81,829.20
  4. Step 4: Simplify right side
    156,624.60x = 19,230,663,926.16
  5. Step 5: Solve for x
    x = 19,230,663,926.16/156,624.60
  6. Step 6: Final answer
    x = 122,781.89

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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.