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Finding the Fourth Proportional to 171,909.70, 257,864.55 and 157,135.30

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Solution

The fourth proportional to 171,909.70, 257,864.55 and 157,135.30 is: 235,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.70 : 257,864.55 = 157,135.30 : x
  2. Step 2: Convert to fraction form
    171,909.70/257,864.55 = 157,135.30/x
  3. Step 3: Cross multiply
    171,909.70x = 257,864.55 × 157,135.30
  4. Step 4: Simplify right side
    171,909.70x = 40,519,623,423.62
  5. Step 5: Solve for x
    x = 40,519,623,423.62/171,909.70
  6. Step 6: Final answer
    x = 235,702.95

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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.