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Finding the Fourth Proportional to 122,714.10, 183,963.15 and 83,142.90

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Solution

The fourth proportional to 122,714.10, 183,963.15 and 83,142.90 is: 124,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,714.10 : 183,963.15 = 83,142.90 : x
  2. Step 2: Convert to fraction form
    122,714.10/183,963.15 = 83,142.90/x
  3. Step 3: Cross multiply
    122,714.10x = 183,963.15 × 83,142.90
  4. Step 4: Simplify right side
    122,714.10x = 15,295,229,784.14
  5. Step 5: Solve for x
    x = 15,295,229,784.14/122,714.10
  6. Step 6: Final answer
    x = 124,641.18

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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.