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Finding the Fourth Proportional to 91,868.80, 137,803.20 and 80,204.80

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Solution

The fourth proportional to 91,868.80, 137,803.20 and 80,204.80 is: 120,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,868.80 : 137,803.20 = 80,204.80 : x
  2. Step 2: Convert to fraction form
    91,868.80/137,803.20 = 80,204.80/x
  3. Step 3: Cross multiply
    91,868.80x = 137,803.20 × 80,204.80
  4. Step 4: Simplify right side
    91,868.80x = 11,052,478,095.36
  5. Step 5: Solve for x
    x = 11,052,478,095.36/91,868.80
  6. Step 6: Final answer
    x = 120,307.20

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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.