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Finding the Fourth Proportional to 55,718.64, 83,576.88 and 13,599

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Solution

The fourth proportional to 55,718.64, 83,576.88 and 13,599 is: 20,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,718.64 : 83,576.88 = 13,599 : x
  2. Step 2: Convert to fraction form
    55,718.64/83,576.88 = 13,599/x
  3. Step 3: Cross multiply
    55,718.64x = 83,576.88 × 13,599
  4. Step 4: Simplify right side
    55,718.64x = 1,136,561,991.12
  5. Step 5: Solve for x
    x = 1,136,561,991.12/55,718.64
  6. Step 6: Final answer
    x = 20,398.24

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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.