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Finding the Fourth Proportional to 181,077.84, 249,882.75 and 100,503

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Solution

The fourth proportional to 181,077.84, 249,882.75 and 100,503 is: 138,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,077.84 : 249,882.75 = 100,503 : x
  2. Step 2: Convert to fraction form
    181,077.84/249,882.75 = 100,503/x
  3. Step 3: Cross multiply
    181,077.84x = 249,882.75 × 100,503
  4. Step 4: Simplify right side
    181,077.84x = 25,113,966,023.25
  5. Step 5: Solve for x
    x = 25,113,966,023.25/181,077.84
  6. Step 6: Final answer
    x = 138,691.55

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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.