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Finding the Fourth Proportional to 56,871.63, 85,323.84 and 17,434.56

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Solution

The fourth proportional to 56,871.63, 85,323.84 and 17,434.56 is: 26,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,871.63 : 85,323.84 = 17,434.56 : x
  2. Step 2: Convert to fraction form
    56,871.63/85,323.84 = 17,434.56/x
  3. Step 3: Cross multiply
    56,871.63x = 85,323.84 × 17,434.56
  4. Step 4: Simplify right side
    56,871.63x = 1,487,583,607.91
  5. Step 5: Solve for x
    x = 1,487,583,607.91/56,871.63
  6. Step 6: Final answer
    x = 26,156.87

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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.