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Finding the Fourth Proportional to 117,978.48, 176,878.80 and 71,220.24

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Solution

The fourth proportional to 117,978.48, 176,878.80 and 71,220.24 is: 106,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,978.48 : 176,878.80 = 71,220.24 : x
  2. Step 2: Convert to fraction form
    117,978.48/176,878.80 = 71,220.24/x
  3. Step 3: Cross multiply
    117,978.48x = 176,878.80 × 71,220.24
  4. Step 4: Simplify right side
    117,978.48x = 12,597,350,586.91
  5. Step 5: Solve for x
    x = 12,597,350,586.91/117,978.48
  6. Step 6: Final answer
    x = 106,776.68

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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.