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Finding the Fourth Proportional to 181,970.76, 251,121.29 and 100,294.53

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Solution

The fourth proportional to 181,970.76, 251,121.29 and 100,294.53 is: 138,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,970.76 : 251,121.29 = 100,294.53 : x
  2. Step 2: Convert to fraction form
    181,970.76/251,121.29 = 100,294.53/x
  3. Step 3: Cross multiply
    181,970.76x = 251,121.29 × 100,294.53
  4. Step 4: Simplify right side
    181,970.76x = 25,186,091,753.54
  5. Step 5: Solve for x
    x = 25,186,091,753.54/181,970.76
  6. Step 6: Final answer
    x = 138,407.36

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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.