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Finding the Fourth Proportional to 69,780.64, 96,294.34 and 39,568

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Solution

The fourth proportional to 69,780.64, 96,294.34 and 39,568 is: 54,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,780.64 : 96,294.34 = 39,568 : x
  2. Step 2: Convert to fraction form
    69,780.64/96,294.34 = 39,568/x
  3. Step 3: Cross multiply
    69,780.64x = 96,294.34 × 39,568
  4. Step 4: Simplify right side
    69,780.64x = 3,810,174,445.12
  5. Step 5: Solve for x
    x = 3,810,174,445.12/69,780.64
  6. Step 6: Final answer
    x = 54,602.17

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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.