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Finding the Fourth Proportional to 100,179.75, 138,248.06 and 55,470.63

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Solution

The fourth proportional to 100,179.75, 138,248.06 and 55,470.63 is: 76,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,179.75 : 138,248.06 = 55,470.63 : x
  2. Step 2: Convert to fraction form
    100,179.75/138,248.06 = 55,470.63/x
  3. Step 3: Cross multiply
    100,179.75x = 138,248.06 × 55,470.63
  4. Step 4: Simplify right side
    100,179.75x = 7,668,706,707.12
  5. Step 5: Solve for x
    x = 7,668,706,707.12/100,179.75
  6. Step 6: Final answer
    x = 76,549.47

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1.5x scale

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.