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Finding the Fourth Proportional to 151,406.70, 227,110.05 and 140,001.90

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Solution

The fourth proportional to 151,406.70, 227,110.05 and 140,001.90 is: 210,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,406.70 : 227,110.05 = 140,001.90 : x
  2. Step 2: Convert to fraction form
    151,406.70/227,110.05 = 140,001.90/x
  3. Step 3: Cross multiply
    151,406.70x = 227,110.05 × 140,001.90
  4. Step 4: Simplify right side
    151,406.70x = 31,795,838,509.10
  5. Step 5: Solve for x
    x = 31,795,838,509.10/151,406.70
  6. Step 6: Final answer
    x = 210,002.85

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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.