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Finding the Fourth Proportional to 65,618.64, 90,541.80 and 38,765.52

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Solution

The fourth proportional to 65,618.64, 90,541.80 and 38,765.52 is: 53,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,618.64 : 90,541.80 = 38,765.52 : x
  2. Step 2: Convert to fraction form
    65,618.64/90,541.80 = 38,765.52/x
  3. Step 3: Cross multiply
    65,618.64x = 90,541.80 × 38,765.52
  4. Step 4: Simplify right side
    65,618.64x = 3,509,899,958.74
  5. Step 5: Solve for x
    x = 3,509,899,958.74/65,618.64
  6. Step 6: Final answer
    x = 53,489.37

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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.