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Finding the Fourth Proportional to 100,822.80, 151,061.40 and 65,744.40

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Solution

The fourth proportional to 100,822.80, 151,061.40 and 65,744.40 is: 98,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822.80 : 151,061.40 = 65,744.40 : x
  2. Step 2: Convert to fraction form
    100,822.80/151,061.40 = 65,744.40/x
  3. Step 3: Cross multiply
    100,822.80x = 151,061.40 × 65,744.40
  4. Step 4: Simplify right side
    100,822.80x = 9,931,441,106.16
  5. Step 5: Solve for x
    x = 9,931,441,106.16/100,822.80
  6. Step 6: Final answer
    x = 98,503.92

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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.