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Finding the Fourth Proportional to 138,630.91, 191,311.11 and 74,969.16

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Solution

The fourth proportional to 138,630.91, 191,311.11 and 74,969.16 is: 103,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,630.91 : 191,311.11 = 74,969.16 : x
  2. Step 2: Convert to fraction form
    138,630.91/191,311.11 = 74,969.16/x
  3. Step 3: Cross multiply
    138,630.91x = 191,311.11 × 74,969.16
  4. Step 4: Simplify right side
    138,630.91x = 14,342,433,215.37
  5. Step 5: Solve for x
    x = 14,342,433,215.37/138,630.91
  6. Step 6: Final answer
    x = 103,457.69

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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.