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Finding the Fourth Proportional to 122,540.64, 169,149.53 and 74,145.06

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Solution

The fourth proportional to 122,540.64, 169,149.53 and 74,145.06 is: 102,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,540.64 : 169,149.53 = 74,145.06 : x
  2. Step 2: Convert to fraction form
    122,540.64/169,149.53 = 74,145.06/x
  3. Step 3: Cross multiply
    122,540.64x = 169,149.53 × 74,145.06
  4. Step 4: Simplify right side
    122,540.64x = 12,541,602,050.82
  5. Step 5: Solve for x
    x = 12,541,602,050.82/122,540.64
  6. Step 6: Final answer
    x = 102,346.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.