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Finding the Fourth Proportional to 178,146.40, 266,701.20 and 157,410.40

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Solution

The fourth proportional to 178,146.40, 266,701.20 and 157,410.40 is: 235,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,146.40 : 266,701.20 = 157,410.40 : x
  2. Step 2: Convert to fraction form
    178,146.40/266,701.20 = 157,410.40/x
  3. Step 3: Cross multiply
    178,146.40x = 266,701.20 × 157,410.40
  4. Step 4: Simplify right side
    178,146.40x = 41,981,542,572.48
  5. Step 5: Solve for x
    x = 41,981,542,572.48/178,146.40
  6. Step 6: Final answer
    x = 235,657.54

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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.