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Finding the Fourth Proportional to 51,856.60, 77,823.30 and 20,714.20

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Solution

The fourth proportional to 51,856.60, 77,823.30 and 20,714.20 is: 31,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.60 : 77,823.30 = 20,714.20 : x
  2. Step 2: Convert to fraction form
    51,856.60/77,823.30 = 20,714.20/x
  3. Step 3: Cross multiply
    51,856.60x = 77,823.30 × 20,714.20
  4. Step 4: Simplify right side
    51,856.60x = 1,612,047,400.86
  5. Step 5: Solve for x
    x = 1,612,047,400.86/51,856.60
  6. Step 6: Final answer
    x = 31,086.64

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1.5x scale

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.