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Finding the Fourth Proportional to 47,257.79, 70,900.52 and 13,978.74

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Solution

The fourth proportional to 47,257.79, 70,900.52 and 13,978.74 is: 20,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257.79 : 70,900.52 = 13,978.74 : x
  2. Step 2: Convert to fraction form
    47,257.79/70,900.52 = 13,978.74/x
  3. Step 3: Cross multiply
    47,257.79x = 70,900.52 × 13,978.74
  4. Step 4: Simplify right side
    47,257.79x = 991,099,638.49
  5. Step 5: Solve for x
    x = 991,099,638.49/47,257.79
  6. Step 6: Final answer
    x = 20,972.20

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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.