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Finding the Fourth Proportional to 180,892.78, 249,615.54 and 100,320.05

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Solution

The fourth proportional to 180,892.78, 249,615.54 and 100,320.05 is: 138,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,892.78 : 249,615.54 = 100,320.05 : x
  2. Step 2: Convert to fraction form
    180,892.78/249,615.54 = 100,320.05/x
  3. Step 3: Cross multiply
    180,892.78x = 249,615.54 × 100,320.05
  4. Step 4: Simplify right side
    180,892.78x = 25,041,444,077.62
  5. Step 5: Solve for x
    x = 25,041,444,077.62/180,892.78
  6. Step 6: Final answer
    x = 138,432.53

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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.