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Finding the Fourth Proportional to 91,809.80, 137,714.70 and 49,819.40

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Solution

The fourth proportional to 91,809.80, 137,714.70 and 49,819.40 is: 74,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,809.80 : 137,714.70 = 49,819.40 : x
  2. Step 2: Convert to fraction form
    91,809.80/137,714.70 = 49,819.40/x
  3. Step 3: Cross multiply
    91,809.80x = 137,714.70 × 49,819.40
  4. Step 4: Simplify right side
    91,809.80x = 6,860,863,725.18
  5. Step 5: Solve for x
    x = 6,860,863,725.18/91,809.80
  6. Step 6: Final answer
    x = 74,729.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.