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Finding the Fourth Proportional to 178,147.40, 266,702.70 and 157,411.40

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Solution

The fourth proportional to 178,147.40, 266,702.70 and 157,411.40 is: 235,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,147.40 : 266,702.70 = 157,411.40 : x
  2. Step 2: Convert to fraction form
    178,147.40/266,702.70 = 157,411.40/x
  3. Step 3: Cross multiply
    178,147.40x = 266,702.70 × 157,411.40
  4. Step 4: Simplify right side
    178,147.40x = 41,982,045,390.78
  5. Step 5: Solve for x
    x = 41,982,045,390.78/178,147.40
  6. Step 6: Final answer
    x = 235,659.04

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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.