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Finding the Fourth Proportional to 138,184.41, 206,944.45 and 78,840.16

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Solution

The fourth proportional to 138,184.41, 206,944.45 and 78,840.16 is: 118,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,184.41 : 206,944.45 = 78,840.16 : x
  2. Step 2: Convert to fraction form
    138,184.41/206,944.45 = 78,840.16/x
  3. Step 3: Cross multiply
    138,184.41x = 206,944.45 × 78,840.16
  4. Step 4: Simplify right side
    138,184.41x = 16,315,533,549.11
  5. Step 5: Solve for x
    x = 16,315,533,549.11/138,184.41
  6. Step 6: Final answer
    x = 118,070.73

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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.