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Finding the Fourth Proportional to 138,173.44, 190,675.20 and 77,747.44

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Solution

The fourth proportional to 138,173.44, 190,675.20 and 77,747.44 is: 107,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,173.44 : 190,675.20 = 77,747.44 : x
  2. Step 2: Convert to fraction form
    138,173.44/190,675.20 = 77,747.44/x
  3. Step 3: Cross multiply
    138,173.44x = 190,675.20 × 77,747.44
  4. Step 4: Simplify right side
    138,173.44x = 14,824,508,671.49
  5. Step 5: Solve for x
    x = 14,824,508,671.49/138,173.44
  6. Step 6: Final answer
    x = 107,289.13

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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.