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Finding the Fourth Proportional to 100,109.90, 138,138.03 and 59,815.15

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Solution

The fourth proportional to 100,109.90, 138,138.03 and 59,815.15 is: 82,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,109.90 : 138,138.03 = 59,815.15 : x
  2. Step 2: Convert to fraction form
    100,109.90/138,138.03 = 59,815.15/x
  3. Step 3: Cross multiply
    100,109.90x = 138,138.03 × 59,815.15
  4. Step 4: Simplify right side
    100,109.90x = 8,262,746,639.81
  5. Step 5: Solve for x
    x = 8,262,746,639.81/100,109.90
  6. Step 6: Final answer
    x = 82,536.76

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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.