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Finding the Fourth Proportional to 138,190.02, 206,952.84 and 78,845.77

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Solution

The fourth proportional to 138,190.02, 206,952.84 and 78,845.77 is: 118,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,190.02 : 206,952.84 = 78,845.77 : x
  2. Step 2: Convert to fraction form
    138,190.02/206,952.84 = 78,845.77/x
  3. Step 3: Cross multiply
    138,190.02x = 206,952.84 × 78,845.77
  4. Step 4: Simplify right side
    138,190.02x = 16,317,356,282.18
  5. Step 5: Solve for x
    x = 16,317,356,282.18/138,190.02
  6. Step 6: Final answer
    x = 118,079.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.