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Finding the Fourth Proportional to 61,314, 91,920.92 and 31,740.36

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Solution

The fourth proportional to 61,314, 91,920.92 and 31,740.36 is: 47,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,314 : 91,920.92 = 31,740.36 : x
  2. Step 2: Convert to fraction form
    61,314/91,920.92 = 31,740.36/x
  3. Step 3: Cross multiply
    61,314x = 91,920.92 × 31,740.36
  4. Step 4: Simplify right side
    61,314x = 2,917,602,933.63
  5. Step 5: Solve for x
    x = 2,917,602,933.63/61,314
  6. Step 6: Final answer
    x = 47,584.61

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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.