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Finding the Fourth Proportional to 85,378.67, 128,066.22 and 28,456.70

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Solution

The fourth proportional to 85,378.67, 128,066.22 and 28,456.70 is: 42,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378.67 : 128,066.22 = 28,456.70 : x
  2. Step 2: Convert to fraction form
    85,378.67/128,066.22 = 28,456.70/x
  3. Step 3: Cross multiply
    85,378.67x = 128,066.22 × 28,456.70
  4. Step 4: Simplify right side
    85,378.67x = 3,644,342,322.84
  5. Step 5: Solve for x
    x = 3,644,342,322.84/85,378.67
  6. Step 6: Final answer
    x = 42,684.46

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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.