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Finding the Fourth Proportional to 149,931.80, 224,971 and 65,680.46

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Solution

The fourth proportional to 149,931.80, 224,971 and 65,680.46 is: 98,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,931.80 : 224,971 = 65,680.46 : x
  2. Step 2: Convert to fraction form
    149,931.80/224,971 = 65,680.46/x
  3. Step 3: Cross multiply
    149,931.80x = 224,971 × 65,680.46
  4. Step 4: Simplify right side
    149,931.80x = 14,776,198,766.66
  5. Step 5: Solve for x
    x = 14,776,198,766.66/149,931.80
  6. Step 6: Final answer
    x = 98,552.80

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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.