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Finding the Fourth Proportional to 52,686.88, 79,063.52 and 38,428.80

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Solution

The fourth proportional to 52,686.88, 79,063.52 and 38,428.80 is: 57,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,686.88 : 79,063.52 = 38,428.80 : x
  2. Step 2: Convert to fraction form
    52,686.88/79,063.52 = 38,428.80/x
  3. Step 3: Cross multiply
    52,686.88x = 79,063.52 × 38,428.80
  4. Step 4: Simplify right side
    52,686.88x = 3,038,316,197.38
  5. Step 5: Solve for x
    x = 3,038,316,197.38/52,686.88
  6. Step 6: Final answer
    x = 57,667.42

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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.