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Finding the Fourth Proportional to 122,506.40, 183,723.08 and 47,638.16

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Solution

The fourth proportional to 122,506.40, 183,723.08 and 47,638.16 is: 71,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,506.40 : 183,723.08 = 47,638.16 : x
  2. Step 2: Convert to fraction form
    122,506.40/183,723.08 = 47,638.16/x
  3. Step 3: Cross multiply
    122,506.40x = 183,723.08 × 47,638.16
  4. Step 4: Simplify right side
    122,506.40x = 8,752,229,480.73
  5. Step 5: Solve for x
    x = 8,752,229,480.73/122,506.40
  6. Step 6: Final answer
    x = 71,443.04

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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.