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Finding the Fourth Proportional to 51,856.47, 71,539.47 and 31,714.20

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Solution

The fourth proportional to 51,856.47, 71,539.47 and 31,714.20 is: 43,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.47 : 71,539.47 = 31,714.20 : x
  2. Step 2: Convert to fraction form
    51,856.47/71,539.47 = 31,714.20/x
  3. Step 3: Cross multiply
    51,856.47x = 71,539.47 × 31,714.20
  4. Step 4: Simplify right side
    51,856.47x = 2,268,817,059.47
  5. Step 5: Solve for x
    x = 2,268,817,059.47/51,856.47
  6. Step 6: Final answer
    x = 43,751.86

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1.5x scale

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.