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Finding the Fourth Proportional to 113,992, 171,001.68 and 47,477.20

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Solution

The fourth proportional to 113,992, 171,001.68 and 47,477.20 is: 71,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,992 : 171,001.68 = 47,477.20 : x
  2. Step 2: Convert to fraction form
    113,992/171,001.68 = 47,477.20/x
  3. Step 3: Cross multiply
    113,992x = 171,001.68 × 47,477.20
  4. Step 4: Simplify right side
    113,992x = 8,118,680,961.70
  5. Step 5: Solve for x
    x = 8,118,680,961.70/113,992
  6. Step 6: Final answer
    x = 71,221.50

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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.