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Finding the Fourth Proportional to 138,155.94, 190,647.41 and 77,729.13

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Solution

The fourth proportional to 138,155.94, 190,647.41 and 77,729.13 is: 107,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,155.94 : 190,647.41 = 77,729.13 : x
  2. Step 2: Convert to fraction form
    138,155.94/190,647.41 = 77,729.13/x
  3. Step 3: Cross multiply
    138,155.94x = 190,647.41 × 77,729.13
  4. Step 4: Simplify right side
    138,155.94x = 14,818,856,927.41
  5. Step 5: Solve for x
    x = 14,818,856,927.41/138,155.94
  6. Step 6: Final answer
    x = 107,261.82

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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.