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Finding the Fourth Proportional to 138,318.53, 190,877.69 and 77,889.90

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Solution

The fourth proportional to 138,318.53, 190,877.69 and 77,889.90 is: 107,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,318.53 : 190,877.69 = 77,889.90 : x
  2. Step 2: Convert to fraction form
    138,318.53/190,877.69 = 77,889.90/x
  3. Step 3: Cross multiply
    138,318.53x = 190,877.69 × 77,889.90
  4. Step 4: Simplify right side
    138,318.53x = 14,867,443,796.88
  5. Step 5: Solve for x
    x = 14,867,443,796.88/138,318.53
  6. Step 6: Final answer
    x = 107,487.00

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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.