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Finding the Fourth Proportional to 138,890.62, 191,684.63 and 78,465.16

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Solution

The fourth proportional to 138,890.62, 191,684.63 and 78,465.16 is: 108,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,890.62 : 191,684.63 = 78,465.16 : x
  2. Step 2: Convert to fraction form
    138,890.62/191,684.63 = 78,465.16/x
  3. Step 3: Cross multiply
    138,890.62x = 191,684.63 × 78,465.16
  4. Step 4: Simplify right side
    138,890.62x = 15,040,565,162.49
  5. Step 5: Solve for x
    x = 15,040,565,162.49/138,890.62
  6. Step 6: Final answer
    x = 108,290.72

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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.