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Finding the Fourth Proportional to 85,713.61, 128,578.87 and 29,546.33

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Solution

The fourth proportional to 85,713.61, 128,578.87 and 29,546.33 is: 44,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713.61 : 128,578.87 = 29,546.33 : x
  2. Step 2: Convert to fraction form
    85,713.61/128,578.87 = 29,546.33/x
  3. Step 3: Cross multiply
    85,713.61x = 128,578.87 × 29,546.33
  4. Step 4: Simplify right side
    85,713.61x = 3,799,033,250.04
  5. Step 5: Solve for x
    x = 3,799,033,250.04/85,713.61
  6. Step 6: Final answer
    x = 44,322.40

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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.