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Finding the Fourth Proportional to 128,302.48, 177,061.20 and 71,714

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Solution

The fourth proportional to 128,302.48, 177,061.20 and 71,714 is: 98,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,302.48 : 177,061.20 = 71,714 : x
  2. Step 2: Convert to fraction form
    128,302.48/177,061.20 = 71,714/x
  3. Step 3: Cross multiply
    128,302.48x = 177,061.20 × 71,714
  4. Step 4: Simplify right side
    128,302.48x = 12,697,766,896.80
  5. Step 5: Solve for x
    x = 12,697,766,896.80/128,302.48
  6. Step 6: Final answer
    x = 98,967.43

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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.