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Finding the Fourth Proportional to 229,169.20, 316,311.63 and 156,601.47

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Solution

The fourth proportional to 229,169.20, 316,311.63 and 156,601.47 is: 216,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,169.20 : 316,311.63 = 156,601.47 : x
  2. Step 2: Convert to fraction form
    229,169.20/316,311.63 = 156,601.47/x
  3. Step 3: Cross multiply
    229,169.20x = 316,311.63 × 156,601.47
  4. Step 4: Simplify right side
    229,169.20x = 49,534,866,236.10
  5. Step 5: Solve for x
    x = 49,534,866,236.10/229,169.20
  6. Step 6: Final answer
    x = 216,149.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.