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Finding the Fourth Proportional to 61,314.54, 91,921.66 and 31,740.82

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Solution

The fourth proportional to 61,314.54, 91,921.66 and 31,740.82 is: 47,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,314.54 : 91,921.66 = 31,740.82 : x
  2. Step 2: Convert to fraction form
    61,314.54/91,921.66 = 31,740.82/x
  3. Step 3: Cross multiply
    61,314.54x = 91,921.66 × 31,740.82
  4. Step 4: Simplify right side
    61,314.54x = 2,917,668,864.16
  5. Step 5: Solve for x
    x = 2,917,668,864.16/61,314.54
  6. Step 6: Final answer
    x = 47,585.27

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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.