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Finding the Fourth Proportional to 85,884.39, 128,766.23 and 37,830.20

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Solution

The fourth proportional to 85,884.39, 128,766.23 and 37,830.20 is: 56,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,884.39 : 128,766.23 = 37,830.20 : x
  2. Step 2: Convert to fraction form
    85,884.39/128,766.23 = 37,830.20/x
  3. Step 3: Cross multiply
    85,884.39x = 128,766.23 × 37,830.20
  4. Step 4: Simplify right side
    85,884.39x = 4,871,251,401.16
  5. Step 5: Solve for x
    x = 4,871,251,401.16/85,884.39
  6. Step 6: Final answer
    x = 56,718.71

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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.