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Finding the Fourth Proportional to 80,352, 110,900.16 and 54,499.68

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Solution

The fourth proportional to 80,352, 110,900.16 and 54,499.68 is: 75,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352 : 110,900.16 = 54,499.68 : x
  2. Step 2: Convert to fraction form
    80,352/110,900.16 = 54,499.68/x
  3. Step 3: Cross multiply
    80,352x = 110,900.16 × 54,499.68
  4. Step 4: Simplify right side
    80,352x = 6,044,023,231.95
  5. Step 5: Solve for x
    x = 6,044,023,231.95/80,352
  6. Step 6: Final answer
    x = 75,219.33

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1.5x scale

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.