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Finding the Fourth Proportional to 119,540.60, 164,881.13 and 78,655.24

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Solution

The fourth proportional to 119,540.60, 164,881.13 and 78,655.24 is: 108,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,540.60 : 164,881.13 = 78,655.24 : x
  2. Step 2: Convert to fraction form
    119,540.60/164,881.13 = 78,655.24/x
  3. Step 3: Cross multiply
    119,540.60x = 164,881.13 × 78,655.24
  4. Step 4: Simplify right side
    119,540.60x = 12,968,764,851.62
  5. Step 5: Solve for x
    x = 12,968,764,851.62/119,540.60
  6. Step 6: Final answer
    x = 108,488.37

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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.