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Finding the Fourth Proportional to 47,254.60, 70,824.30 and 20,931.40

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Solution

The fourth proportional to 47,254.60, 70,824.30 and 20,931.40 is: 31,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254.60 : 70,824.30 = 20,931.40 : x
  2. Step 2: Convert to fraction form
    47,254.60/70,824.30 = 20,931.40/x
  3. Step 3: Cross multiply
    47,254.60x = 70,824.30 × 20,931.40
  4. Step 4: Simplify right side
    47,254.60x = 1,482,451,753.02
  5. Step 5: Solve for x
    x = 1,482,451,753.02/47,254.60
  6. Step 6: Final answer
    x = 31,371.59

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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.