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Finding the Fourth Proportional to 100,468.50, 138,646.53 and 55,756.50

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Solution

The fourth proportional to 100,468.50, 138,646.53 and 55,756.50 is: 76,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468.50 : 138,646.53 = 55,756.50 : x
  2. Step 2: Convert to fraction form
    100,468.50/138,646.53 = 55,756.50/x
  3. Step 3: Cross multiply
    100,468.50x = 138,646.53 × 55,756.50
  4. Step 4: Simplify right side
    100,468.50x = 7,730,445,249.95
  5. Step 5: Solve for x
    x = 7,730,445,249.95/100,468.50
  6. Step 6: Final answer
    x = 76,943.97

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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.