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Finding the Fourth Proportional to 122,042.72, 183,064.32 and 43,114.40

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Solution

The fourth proportional to 122,042.72, 183,064.32 and 43,114.40 is: 64,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,042.72 : 183,064.32 = 43,114.40 : x
  2. Step 2: Convert to fraction form
    122,042.72/183,064.32 = 43,114.40/x
  3. Step 3: Cross multiply
    122,042.72x = 183,064.32 × 43,114.40
  4. Step 4: Simplify right side
    122,042.72x = 7,892,708,318.21
  5. Step 5: Solve for x
    x = 7,892,708,318.21/122,042.72
  6. Step 6: Final answer
    x = 64,671.68

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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.