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Finding the Fourth Proportional to 56,504.79, 77,977.60 and 31,013.54

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Solution

The fourth proportional to 56,504.79, 77,977.60 and 31,013.54 is: 42,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,504.79 : 77,977.60 = 31,013.54 : x
  2. Step 2: Convert to fraction form
    56,504.79/77,977.60 = 31,013.54/x
  3. Step 3: Cross multiply
    56,504.79x = 77,977.60 × 31,013.54
  4. Step 4: Simplify right side
    56,504.79x = 2,418,361,340.14
  5. Step 5: Solve for x
    x = 2,418,361,340.14/56,504.79
  6. Step 6: Final answer
    x = 42,799.23

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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.