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Finding the Fourth Proportional to 100,128, 138,177.05 and 55,416

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Solution

The fourth proportional to 100,128, 138,177.05 and 55,416 is: 76,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,128 : 138,177.05 = 55,416 : x
  2. Step 2: Convert to fraction form
    100,128/138,177.05 = 55,416/x
  3. Step 3: Cross multiply
    100,128x = 138,177.05 × 55,416
  4. Step 4: Simplify right side
    100,128x = 7,657,219,125.72
  5. Step 5: Solve for x
    x = 7,657,219,125.72/100,128
  6. Step 6: Final answer
    x = 76,474.30

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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.