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Finding the Fourth Proportional to 156,677.80, 235,016.70 and 77,945.80

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Solution

The fourth proportional to 156,677.80, 235,016.70 and 77,945.80 is: 116,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,677.80 : 235,016.70 = 77,945.80 : x
  2. Step 2: Convert to fraction form
    156,677.80/235,016.70 = 77,945.80/x
  3. Step 3: Cross multiply
    156,677.80x = 235,016.70 × 77,945.80
  4. Step 4: Simplify right side
    156,677.80x = 18,318,564,694.86
  5. Step 5: Solve for x
    x = 18,318,564,694.86/156,677.80
  6. Step 6: Final answer
    x = 116,918.70

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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.