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Finding the Fourth Proportional to 56,871.64, 78,469.50 and 34,511.32

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Solution

The fourth proportional to 56,871.64, 78,469.50 and 34,511.32 is: 47,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,871.64 : 78,469.50 = 34,511.32 : x
  2. Step 2: Convert to fraction form
    56,871.64/78,469.50 = 34,511.32/x
  3. Step 3: Cross multiply
    56,871.64x = 78,469.50 × 34,511.32
  4. Step 4: Simplify right side
    56,871.64x = 2,708,086,024.74
  5. Step 5: Solve for x
    x = 2,708,086,024.74/56,871.64
  6. Step 6: Final answer
    x = 47,617.51

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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.