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Finding the Fourth Proportional to 149,780.80, 224,638.80 and 65,540.80

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Solution

The fourth proportional to 149,780.80, 224,638.80 and 65,540.80 is: 98,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,780.80 : 224,638.80 = 65,540.80 : x
  2. Step 2: Convert to fraction form
    149,780.80/224,638.80 = 65,540.80/x
  3. Step 3: Cross multiply
    149,780.80x = 224,638.80 × 65,540.80
  4. Step 4: Simplify right side
    149,780.80x = 14,723,006,663.04
  5. Step 5: Solve for x
    x = 14,723,006,663.04/149,780.80
  6. Step 6: Final answer
    x = 98,297.02

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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.