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Finding the Fourth Proportional to 148,991, 223,626.95 and 54,312.69

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Solution

The fourth proportional to 148,991, 223,626.95 and 54,312.69 is: 81,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,991 : 223,626.95 = 54,312.69 : x
  2. Step 2: Convert to fraction form
    148,991/223,626.95 = 54,312.69/x
  3. Step 3: Cross multiply
    148,991x = 223,626.95 × 54,312.69
  4. Step 4: Simplify right side
    148,991x = 12,145,781,211.00
  5. Step 5: Solve for x
    x = 12,145,781,211.00/148,991
  6. Step 6: Final answer
    x = 81,520.23

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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.