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Finding the Fourth Proportional to 55,218.64, 82,753.40 and 39,602

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Solution

The fourth proportional to 55,218.64, 82,753.40 and 39,602 is: 59,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218.64 : 82,753.40 = 39,602 : x
  2. Step 2: Convert to fraction form
    55,218.64/82,753.40 = 39,602/x
  3. Step 3: Cross multiply
    55,218.64x = 82,753.40 × 39,602
  4. Step 4: Simplify right side
    55,218.64x = 3,277,200,146.80
  5. Step 5: Solve for x
    x = 3,277,200,146.80/55,218.64
  6. Step 6: Final answer
    x = 59,349.53

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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.