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Finding the Fourth Proportional to 51,978.42, 71,726.09 and 29,310.16

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Solution

The fourth proportional to 51,978.42, 71,726.09 and 29,310.16 is: 40,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.42 : 71,726.09 = 29,310.16 : x
  2. Step 2: Convert to fraction form
    51,978.42/71,726.09 = 29,310.16/x
  3. Step 3: Cross multiply
    51,978.42x = 71,726.09 × 29,310.16
  4. Step 4: Simplify right side
    51,978.42x = 2,102,303,027.52
  5. Step 5: Solve for x
    x = 2,102,303,027.52/51,978.42
  6. Step 6: Final answer
    x = 40,445.69

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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.