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Finding the Fourth Proportional to 99,793.20, 149,689.80 and 77,485.80

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Solution

The fourth proportional to 99,793.20, 149,689.80 and 77,485.80 is: 116,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.20 : 149,689.80 = 77,485.80 : x
  2. Step 2: Convert to fraction form
    99,793.20/149,689.80 = 77,485.80/x
  3. Step 3: Cross multiply
    99,793.20x = 149,689.80 × 77,485.80
  4. Step 4: Simplify right side
    99,793.20x = 11,598,833,904.84
  5. Step 5: Solve for x
    x = 11,598,833,904.84/99,793.20
  6. Step 6: Final answer
    x = 116,228.70

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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.