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Finding the Fourth Proportional to 138,630.12, 191,309.64 and 74,967.90

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Solution

The fourth proportional to 138,630.12, 191,309.64 and 74,967.90 is: 103,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,630.12 : 191,309.64 = 74,967.90 : x
  2. Step 2: Convert to fraction form
    138,630.12/191,309.64 = 74,967.90/x
  3. Step 3: Cross multiply
    138,630.12x = 191,309.64 × 74,967.90
  4. Step 4: Simplify right side
    138,630.12x = 14,342,081,960.56
  5. Step 5: Solve for x
    x = 14,342,081,960.56/138,630.12
  6. Step 6: Final answer
    x = 103,455.74

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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.