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Finding the Fourth Proportional to 148,920.88, 205,512.16 and 80,938.02

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Solution

The fourth proportional to 148,920.88, 205,512.16 and 80,938.02 is: 111,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,920.88 : 205,512.16 = 80,938.02 : x
  2. Step 2: Convert to fraction form
    148,920.88/205,512.16 = 80,938.02/x
  3. Step 3: Cross multiply
    148,920.88x = 205,512.16 × 80,938.02
  4. Step 4: Simplify right side
    148,920.88x = 16,633,746,302.40
  5. Step 5: Solve for x
    x = 16,633,746,302.40/148,920.88
  6. Step 6: Final answer
    x = 111,695.19

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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.