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Finding the Fourth Proportional to 180,853, 249,580.14 and 100,283.92

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Solution

The fourth proportional to 180,853, 249,580.14 and 100,283.92 is: 138,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,853 : 249,580.14 = 100,283.92 : x
  2. Step 2: Convert to fraction form
    180,853/249,580.14 = 100,283.92/x
  3. Step 3: Cross multiply
    180,853x = 249,580.14 × 100,283.92
  4. Step 4: Simplify right side
    180,853x = 25,028,874,793.35
  5. Step 5: Solve for x
    x = 25,028,874,793.35/180,853
  6. Step 6: Final answer
    x = 138,393.47

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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.