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Finding the Fourth Proportional to 100,470, 138,648.96 and 55,758

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Solution

The fourth proportional to 100,470, 138,648.96 and 55,758 is: 76,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470 : 138,648.96 = 55,758 : x
  2. Step 2: Convert to fraction form
    100,470/138,648.96 = 55,758/x
  3. Step 3: Cross multiply
    100,470x = 138,648.96 × 55,758
  4. Step 4: Simplify right side
    100,470x = 7,730,788,711.68
  5. Step 5: Solve for x
    x = 7,730,788,711.68/100,470
  6. Step 6: Final answer
    x = 76,946.24

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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.