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Finding the Fourth Proportional to 138,062.56, 190,515.60 and 77,621.92

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Solution

The fourth proportional to 138,062.56, 190,515.60 and 77,621.92 is: 107,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,062.56 : 190,515.60 = 77,621.92 : x
  2. Step 2: Convert to fraction form
    138,062.56/190,515.60 = 77,621.92/x
  3. Step 3: Cross multiply
    138,062.56x = 190,515.60 × 77,621.92
  4. Step 4: Simplify right side
    138,062.56x = 14,788,186,661.95
  5. Step 5: Solve for x
    x = 14,788,186,661.95/138,062.56
  6. Step 6: Final answer
    x = 107,112.22

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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.