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Finding the Fourth Proportional to 65,191.64, 89,961.35 and 40,036.28

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Solution

The fourth proportional to 65,191.64, 89,961.35 and 40,036.28 is: 55,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.64 : 89,961.35 = 40,036.28 : x
  2. Step 2: Convert to fraction form
    65,191.64/89,961.35 = 40,036.28/x
  3. Step 3: Cross multiply
    65,191.64x = 89,961.35 × 40,036.28
  4. Step 4: Simplify right side
    65,191.64x = 3,601,718,122.77
  5. Step 5: Solve for x
    x = 3,601,718,122.77/65,191.64
  6. Step 6: Final answer
    x = 55,248.16

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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.