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Finding the Fourth Proportional to 65,782.78, 98,673.31 and 15,862.51

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Solution

The fourth proportional to 65,782.78, 98,673.31 and 15,862.51 is: 23,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.78 : 98,673.31 = 15,862.51 : x
  2. Step 2: Convert to fraction form
    65,782.78/98,673.31 = 15,862.51/x
  3. Step 3: Cross multiply
    65,782.78x = 98,673.31 × 15,862.51
  4. Step 4: Simplify right side
    65,782.78x = 1,565,206,276.87
  5. Step 5: Solve for x
    x = 1,565,206,276.87/65,782.78
  6. Step 6: Final answer
    x = 23,793.56

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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.