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Finding the Fourth Proportional to 100,512.86, 138,679.44 and 64,723.58

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Solution

The fourth proportional to 100,512.86, 138,679.44 and 64,723.58 is: 89,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512.86 : 138,679.44 = 64,723.58 : x
  2. Step 2: Convert to fraction form
    100,512.86/138,679.44 = 64,723.58/x
  3. Step 3: Cross multiply
    100,512.86x = 138,679.44 × 64,723.58
  4. Step 4: Simplify right side
    100,512.86x = 8,975,829,829.20
  5. Step 5: Solve for x
    x = 8,975,829,829.20/100,512.86
  6. Step 6: Final answer
    x = 89,300.31

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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.