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Finding the Fourth Proportional to 181,440, 250,387.20 and 101,952

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Solution

The fourth proportional to 181,440, 250,387.20 and 101,952 is: 140,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,440 : 250,387.20 = 101,952 : x
  2. Step 2: Convert to fraction form
    181,440/250,387.20 = 101,952/x
  3. Step 3: Cross multiply
    181,440x = 250,387.20 × 101,952
  4. Step 4: Simplify right side
    181,440x = 25,527,475,814.40
  5. Step 5: Solve for x
    x = 25,527,475,814.40/181,440
  6. Step 6: Final answer
    x = 140,693.76

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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.