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Finding the Fourth Proportional to 138,940.48, 191,737.60 and 75,280

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Solution

The fourth proportional to 138,940.48, 191,737.60 and 75,280 is: 103,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.48 : 191,737.60 = 75,280 : x
  2. Step 2: Convert to fraction form
    138,940.48/191,737.60 = 75,280/x
  3. Step 3: Cross multiply
    138,940.48x = 191,737.60 × 75,280
  4. Step 4: Simplify right side
    138,940.48x = 14,434,006,528
  5. Step 5: Solve for x
    x = 14,434,006,528/138,940.48
  6. Step 6: Final answer
    x = 103,886.26

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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.