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Finding the Fourth Proportional to 118,294.38, 163,207.08 and 78,028.02

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Solution

The fourth proportional to 118,294.38, 163,207.08 and 78,028.02 is: 107,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,294.38 : 163,207.08 = 78,028.02 : x
  2. Step 2: Convert to fraction form
    118,294.38/163,207.08 = 78,028.02/x
  3. Step 3: Cross multiply
    118,294.38x = 163,207.08 × 78,028.02
  4. Step 4: Simplify right side
    118,294.38x = 12,734,725,302.38
  5. Step 5: Solve for x
    x = 12,734,725,302.38/118,294.38
  6. Step 6: Final answer
    x = 107,652.83

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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.