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Finding the Fourth Proportional to 92,113.20, 138,315.60 and 69,951.60

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Solution

The fourth proportional to 92,113.20, 138,315.60 and 69,951.60 is: 105,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,113.20 : 138,315.60 = 69,951.60 : x
  2. Step 2: Convert to fraction form
    92,113.20/138,315.60 = 69,951.60/x
  3. Step 3: Cross multiply
    92,113.20x = 138,315.60 × 69,951.60
  4. Step 4: Simplify right side
    92,113.20x = 9,675,397,524.96
  5. Step 5: Solve for x
    x = 9,675,397,524.96/92,113.20
  6. Step 6: Final answer
    x = 105,038.12

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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.