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Finding the Fourth Proportional to 180,456.89, 249,032.70 and 99,891.92

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Solution

The fourth proportional to 180,456.89, 249,032.70 and 99,891.92 is: 137,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,456.89 : 249,032.70 = 99,891.92 : x
  2. Step 2: Convert to fraction form
    180,456.89/249,032.70 = 99,891.92/x
  3. Step 3: Cross multiply
    180,456.89x = 249,032.70 × 99,891.92
  4. Step 4: Simplify right side
    180,456.89x = 24,876,353,300.62
  5. Step 5: Solve for x
    x = 24,876,353,300.62/180,456.89
  6. Step 6: Final answer
    x = 137,852.06

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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.