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Finding the Fourth Proportional to 55,156.34, 82,720.84 and 15,713.79

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Solution

The fourth proportional to 55,156.34, 82,720.84 and 15,713.79 is: 23,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,156.34 : 82,720.84 = 15,713.79 : x
  2. Step 2: Convert to fraction form
    55,156.34/82,720.84 = 15,713.79/x
  3. Step 3: Cross multiply
    55,156.34x = 82,720.84 × 15,713.79
  4. Step 4: Simplify right side
    55,156.34x = 1,299,857,829.81
  5. Step 5: Solve for x
    x = 1,299,857,829.81/55,156.34
  6. Step 6: Final answer
    x = 23,566.79

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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.