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Finding the Fourth Proportional to 85,772.16, 128,616.12 and 35,837.28

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Solution

The fourth proportional to 85,772.16, 128,616.12 and 35,837.28 is: 53,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,772.16 : 128,616.12 = 35,837.28 : x
  2. Step 2: Convert to fraction form
    85,772.16/128,616.12 = 35,837.28/x
  3. Step 3: Cross multiply
    85,772.16x = 128,616.12 × 35,837.28
  4. Step 4: Simplify right side
    85,772.16x = 4,609,251,904.95
  5. Step 5: Solve for x
    x = 4,609,251,904.95/85,772.16
  6. Step 6: Final answer
    x = 53,738.32

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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.