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Finding the Fourth Proportional to 109,868.80, 164,803.20 and 65,545.60

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Solution

The fourth proportional to 109,868.80, 164,803.20 and 65,545.60 is: 98,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,868.80 : 164,803.20 = 65,545.60 : x
  2. Step 2: Convert to fraction form
    109,868.80/164,803.20 = 65,545.60/x
  3. Step 3: Cross multiply
    109,868.80x = 164,803.20 × 65,545.60
  4. Step 4: Simplify right side
    109,868.80x = 10,802,124,625.92
  5. Step 5: Solve for x
    x = 10,802,124,625.92/109,868.80
  6. Step 6: Final answer
    x = 98,318.40

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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.