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Finding the Fourth Proportional to 156,970.90, 235,456.35 and 137,287.90

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Solution

The fourth proportional to 156,970.90, 235,456.35 and 137,287.90 is: 205,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970.90 : 235,456.35 = 137,287.90 : x
  2. Step 2: Convert to fraction form
    156,970.90/235,456.35 = 137,287.90/x
  3. Step 3: Cross multiply
    156,970.90x = 235,456.35 × 137,287.90
  4. Step 4: Simplify right side
    156,970.90x = 32,325,307,833.17
  5. Step 5: Solve for x
    x = 32,325,307,833.17/156,970.90
  6. Step 6: Final answer
    x = 205,931.85

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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.