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Finding the Fourth Proportional to 47,257.86, 70,900.62 and 13,978.81

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Solution

The fourth proportional to 47,257.86, 70,900.62 and 13,978.81 is: 20,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257.86 : 70,900.62 = 13,978.81 : x
  2. Step 2: Convert to fraction form
    47,257.86/70,900.62 = 13,978.81/x
  3. Step 3: Cross multiply
    47,257.86x = 70,900.62 × 13,978.81
  4. Step 4: Simplify right side
    47,257.86x = 991,106,171.03
  5. Step 5: Solve for x
    x = 991,106,171.03/47,257.86
  6. Step 6: Final answer
    x = 20,972.30

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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.