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Finding the Fourth Proportional to 138,643.80, 207,965.70 and 110,103.45

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Solution

The fourth proportional to 138,643.80, 207,965.70 and 110,103.45 is: 165,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643.80 : 207,965.70 = 110,103.45 : x
  2. Step 2: Convert to fraction form
    138,643.80/207,965.70 = 110,103.45/x
  3. Step 3: Cross multiply
    138,643.80x = 207,965.70 × 110,103.45
  4. Step 4: Simplify right side
    138,643.80x = 22,897,741,051.67
  5. Step 5: Solve for x
    x = 22,897,741,051.67/138,643.80
  6. Step 6: Final answer
    x = 165,155.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.