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Finding the Fourth Proportional to 56,370, 77,787.48 and 31,217.52

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Solution

The fourth proportional to 56,370, 77,787.48 and 31,217.52 is: 43,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,370 : 77,787.48 = 31,217.52 : x
  2. Step 2: Convert to fraction form
    56,370/77,787.48 = 31,217.52/x
  3. Step 3: Cross multiply
    56,370x = 77,787.48 × 31,217.52
  4. Step 4: Simplify right side
    56,370x = 2,428,332,212.65
  5. Step 5: Solve for x
    x = 2,428,332,212.65/56,370
  6. Step 6: Final answer
    x = 43,078.45

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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.