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Finding the Fourth Proportional to 181,442, 250,398.50 and 100,870.87

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Solution

The fourth proportional to 181,442, 250,398.50 and 100,870.87 is: 139,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,442 : 250,398.50 = 100,870.87 : x
  2. Step 2: Convert to fraction form
    181,442/250,398.50 = 100,870.87/x
  3. Step 3: Cross multiply
    181,442x = 250,398.50 × 100,870.87
  4. Step 4: Simplify right side
    181,442x = 25,257,914,541.70
  5. Step 5: Solve for x
    x = 25,257,914,541.70/181,442
  6. Step 6: Final answer
    x = 139,206.55

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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.