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Finding the Fourth Proportional to 148,802.32, 205,348.71 and 80,819.95

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Solution

The fourth proportional to 148,802.32, 205,348.71 and 80,819.95 is: 111,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,802.32 : 205,348.71 = 80,819.95 : x
  2. Step 2: Convert to fraction form
    148,802.32/205,348.71 = 80,819.95/x
  3. Step 3: Cross multiply
    148,802.32x = 205,348.71 × 80,819.95
  4. Step 4: Simplify right side
    148,802.32x = 16,596,272,474.76
  5. Step 5: Solve for x
    x = 16,596,272,474.76/148,802.32
  6. Step 6: Final answer
    x = 111,532.35

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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.