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Finding the Fourth Proportional to 47,770.56, 65,963.16 and 39,854.28

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Solution

The fourth proportional to 47,770.56, 65,963.16 and 39,854.28 is: 55,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770.56 : 65,963.16 = 39,854.28 : x
  2. Step 2: Convert to fraction form
    47,770.56/65,963.16 = 39,854.28/x
  3. Step 3: Cross multiply
    47,770.56x = 65,963.16 × 39,854.28
  4. Step 4: Simplify right side
    47,770.56x = 2,628,914,248.32
  5. Step 5: Solve for x
    x = 2,628,914,248.32/47,770.56
  6. Step 6: Final answer
    x = 55,032.10

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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.