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Finding the Fourth Proportional to 138,263.70, 190,807.49 and 77,836.53

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Solution

The fourth proportional to 138,263.70, 190,807.49 and 77,836.53 is: 107,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,263.70 : 190,807.49 = 77,836.53 : x
  2. Step 2: Convert to fraction form
    138,263.70/190,807.49 = 77,836.53/x
  3. Step 3: Cross multiply
    138,263.70x = 190,807.49 × 77,836.53
  4. Step 4: Simplify right side
    138,263.70x = 14,851,792,919.61
  5. Step 5: Solve for x
    x = 14,851,792,919.61/138,263.70
  6. Step 6: Final answer
    x = 107,416.43

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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.