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Finding the Fourth Proportional to 97,223.20, 145,834.80 and 81,671.20

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Solution

The fourth proportional to 97,223.20, 145,834.80 and 81,671.20 is: 122,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,223.20 : 145,834.80 = 81,671.20 : x
  2. Step 2: Convert to fraction form
    97,223.20/145,834.80 = 81,671.20/x
  3. Step 3: Cross multiply
    97,223.20x = 145,834.80 × 81,671.20
  4. Step 4: Simplify right side
    97,223.20x = 11,910,503,117.76
  5. Step 5: Solve for x
    x = 11,910,503,117.76/97,223.20
  6. Step 6: Final answer
    x = 122,506.80

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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.