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Finding the Fourth Proportional to 100,289.54, 138,400.62 and 54,966.50

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Solution

The fourth proportional to 100,289.54, 138,400.62 and 54,966.50 is: 75,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,289.54 : 138,400.62 = 54,966.50 : x
  2. Step 2: Convert to fraction form
    100,289.54/138,400.62 = 54,966.50/x
  3. Step 3: Cross multiply
    100,289.54x = 138,400.62 × 54,966.50
  4. Step 4: Simplify right side
    100,289.54x = 7,607,397,763.88
  5. Step 5: Solve for x
    x = 7,607,397,763.88/100,289.54
  6. Step 6: Final answer
    x = 75,854.35

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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.