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Finding the Fourth Proportional to 61,120.40, 84,231.96 and 47,670.48

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Solution

The fourth proportional to 61,120.40, 84,231.96 and 47,670.48 is: 65,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,120.40 : 84,231.96 = 47,670.48 : x
  2. Step 2: Convert to fraction form
    61,120.40/84,231.96 = 47,670.48/x
  3. Step 3: Cross multiply
    61,120.40x = 84,231.96 × 47,670.48
  4. Step 4: Simplify right side
    61,120.40x = 4,015,377,964.54
  5. Step 5: Solve for x
    x = 4,015,377,964.54/61,120.40
  6. Step 6: Final answer
    x = 65,696.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.