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Finding the Fourth Proportional to 145,806.40, 218,709.60 and 83,432.80

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Solution

The fourth proportional to 145,806.40, 218,709.60 and 83,432.80 is: 125,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806.40 : 218,709.60 = 83,432.80 : x
  2. Step 2: Convert to fraction form
    145,806.40/218,709.60 = 83,432.80/x
  3. Step 3: Cross multiply
    145,806.40x = 218,709.60 × 83,432.80
  4. Step 4: Simplify right side
    145,806.40x = 18,247,554,314.88
  5. Step 5: Solve for x
    x = 18,247,554,314.88/145,806.40
  6. Step 6: Final answer
    x = 125,149.20

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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.