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Finding the Fourth Proportional to 181,082.86, 249,891.90 and 100,510.18

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Solution

The fourth proportional to 181,082.86, 249,891.90 and 100,510.18 is: 138,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,082.86 : 249,891.90 = 100,510.18 : x
  2. Step 2: Convert to fraction form
    181,082.86/249,891.90 = 100,510.18/x
  3. Step 3: Cross multiply
    181,082.86x = 249,891.90 × 100,510.18
  4. Step 4: Simplify right side
    181,082.86x = 25,116,679,849.54
  5. Step 5: Solve for x
    x = 25,116,679,849.54/181,082.86
  6. Step 6: Final answer
    x = 138,702.69

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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.