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Finding the Fourth Proportional to 100,470.25, 138,648.95 and 55,758.25

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Solution

The fourth proportional to 100,470.25, 138,648.95 and 55,758.25 is: 76,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.25 : 138,648.95 = 55,758.25 : x
  2. Step 2: Convert to fraction form
    100,470.25/138,648.95 = 55,758.25/x
  3. Step 3: Cross multiply
    100,470.25x = 138,648.95 × 55,758.25
  4. Step 4: Simplify right side
    100,470.25x = 7,730,822,816.34
  5. Step 5: Solve for x
    x = 7,730,822,816.34/100,470.25
  6. Step 6: Final answer
    x = 76,946.39

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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.