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Finding the Fourth Proportional to 85,978.70, 128,968.05 and 80,146.70

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Solution

The fourth proportional to 85,978.70, 128,968.05 and 80,146.70 is: 120,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,978.70 : 128,968.05 = 80,146.70 : x
  2. Step 2: Convert to fraction form
    85,978.70/128,968.05 = 80,146.70/x
  3. Step 3: Cross multiply
    85,978.70x = 128,968.05 × 80,146.70
  4. Step 4: Simplify right side
    85,978.70x = 10,336,363,612.94
  5. Step 5: Solve for x
    x = 10,336,363,612.94/85,978.70
  6. Step 6: Final answer
    x = 120,220.05

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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.