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Finding the Fourth Proportional to 178,437.80, 267,656.70 and 136,965.80

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Solution

The fourth proportional to 178,437.80, 267,656.70 and 136,965.80 is: 205,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,437.80 : 267,656.70 = 136,965.80 : x
  2. Step 2: Convert to fraction form
    178,437.80/267,656.70 = 136,965.80/x
  3. Step 3: Cross multiply
    178,437.80x = 267,656.70 × 136,965.80
  4. Step 4: Simplify right side
    178,437.80x = 36,659,814,040.86
  5. Step 5: Solve for x
    x = 36,659,814,040.86/178,437.80
  6. Step 6: Final answer
    x = 205,448.70

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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.