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Finding the Fourth Proportional to 128,253.29, 176,989.16 and 71,664.71

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Solution

The fourth proportional to 128,253.29, 176,989.16 and 71,664.71 is: 98,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,253.29 : 176,989.16 = 71,664.71 : x
  2. Step 2: Convert to fraction form
    128,253.29/176,989.16 = 71,664.71/x
  3. Step 3: Cross multiply
    128,253.29x = 176,989.16 × 71,664.71
  4. Step 4: Simplify right side
    128,253.29x = 12,683,876,118.76
  5. Step 5: Solve for x
    x = 12,683,876,118.76/128,253.29
  6. Step 6: Final answer
    x = 98,897.09

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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.