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Finding the Fourth Proportional to 56,782.79, 85,182.42 and 17,334.78

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Solution

The fourth proportional to 56,782.79, 85,182.42 and 17,334.78 is: 26,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782.79 : 85,182.42 = 17,334.78 : x
  2. Step 2: Convert to fraction form
    56,782.79/85,182.42 = 17,334.78/x
  3. Step 3: Cross multiply
    56,782.79x = 85,182.42 × 17,334.78
  4. Step 4: Simplify right side
    56,782.79x = 1,476,618,510.57
  5. Step 5: Solve for x
    x = 1,476,618,510.57/56,782.79
  6. Step 6: Final answer
    x = 26,004.69

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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.