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Finding the Fourth Proportional to 138,066.40, 206,953.80 and 78,774.40

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Solution

The fourth proportional to 138,066.40, 206,953.80 and 78,774.40 is: 118,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,066.40 : 206,953.80 = 78,774.40 : x
  2. Step 2: Convert to fraction form
    138,066.40/206,953.80 = 78,774.40/x
  3. Step 3: Cross multiply
    138,066.40x = 206,953.80 × 78,774.40
  4. Step 4: Simplify right side
    138,066.40x = 16,302,661,422.72
  5. Step 5: Solve for x
    x = 16,302,661,422.72/138,066.40
  6. Step 6: Final answer
    x = 118,078.41

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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.