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Finding the Fourth Proportional to 100,700.88, 138,964.44 and 55,378.86

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Solution

The fourth proportional to 100,700.88, 138,964.44 and 55,378.86 is: 76,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.88 : 138,964.44 = 55,378.86 : x
  2. Step 2: Convert to fraction form
    100,700.88/138,964.44 = 55,378.86/x
  3. Step 3: Cross multiply
    100,700.88x = 138,964.44 × 55,378.86
  4. Step 4: Simplify right side
    100,700.88x = 7,695,692,267.74
  5. Step 5: Solve for x
    x = 7,695,692,267.74/100,700.88
  6. Step 6: Final answer
    x = 76,421.30

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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.