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Finding the Fourth Proportional to 138,963.12, 208,483.56 and 45,534.48

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Solution

The fourth proportional to 138,963.12, 208,483.56 and 45,534.48 is: 68,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.12 : 208,483.56 = 45,534.48 : x
  2. Step 2: Convert to fraction form
    138,963.12/208,483.56 = 45,534.48/x
  3. Step 3: Cross multiply
    138,963.12x = 208,483.56 × 45,534.48
  4. Step 4: Simplify right side
    138,963.12x = 9,493,190,493.15
  5. Step 5: Solve for x
    x = 9,493,190,493.15/138,963.12
  6. Step 6: Final answer
    x = 68,314.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.