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Finding the Fourth Proportional to 160,047.36, 240,141.42 and 85,149.90

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Solution

The fourth proportional to 160,047.36, 240,141.42 and 85,149.90 is: 127,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,047.36 : 240,141.42 = 85,149.90 : x
  2. Step 2: Convert to fraction form
    160,047.36/240,141.42 = 85,149.90/x
  3. Step 3: Cross multiply
    160,047.36x = 240,141.42 × 85,149.90
  4. Step 4: Simplify right side
    160,047.36x = 20,448,017,898.86
  5. Step 5: Solve for x
    x = 20,448,017,898.86/160,047.36
  6. Step 6: Final answer
    x = 127,762.29

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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.