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Finding the Fourth Proportional to 85,442.34, 128,295 and 76,169.46

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Solution

The fourth proportional to 85,442.34, 128,295 and 76,169.46 is: 114,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,442.34 : 128,295 = 76,169.46 : x
  2. Step 2: Convert to fraction form
    85,442.34/128,295 = 76,169.46/x
  3. Step 3: Cross multiply
    85,442.34x = 128,295 × 76,169.46
  4. Step 4: Simplify right side
    85,442.34x = 9,772,160,870.70
  5. Step 5: Solve for x
    x = 9,772,160,870.70/85,442.34
  6. Step 6: Final answer
    x = 114,371.41

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1.5x scale

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.