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Finding the Fourth Proportional to 181,428, 272,048.70 and 81,502.48

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Solution

The fourth proportional to 181,428, 272,048.70 and 81,502.48 is: 122,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,428 : 272,048.70 = 81,502.48 : x
  2. Step 2: Convert to fraction form
    181,428/272,048.70 = 81,502.48/x
  3. Step 3: Cross multiply
    181,428x = 272,048.70 × 81,502.48
  4. Step 4: Simplify right side
    181,428x = 22,172,643,730.78
  5. Step 5: Solve for x
    x = 22,172,643,730.78/181,428
  6. Step 6: Final answer
    x = 122,211.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.