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Finding the Fourth Proportional to 100,707.11, 138,973.02 and 55,385.08

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Solution

The fourth proportional to 100,707.11, 138,973.02 and 55,385.08 is: 76,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707.11 : 138,973.02 = 55,385.08 : x
  2. Step 2: Convert to fraction form
    100,707.11/138,973.02 = 55,385.08/x
  3. Step 3: Cross multiply
    100,707.11x = 138,973.02 × 55,385.08
  4. Step 4: Simplify right side
    100,707.11x = 7,697,031,830.54
  5. Step 5: Solve for x
    x = 7,697,031,830.54/100,707.11
  6. Step 6: Final answer
    x = 76,429.88

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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.