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Finding the Fourth Proportional to 57,758.62, 86,646.14 and 17,780.94

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Solution

The fourth proportional to 57,758.62, 86,646.14 and 17,780.94 is: 26,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758.62 : 86,646.14 = 17,780.94 : x
  2. Step 2: Convert to fraction form
    57,758.62/86,646.14 = 17,780.94/x
  3. Step 3: Cross multiply
    57,758.62x = 86,646.14 × 17,780.94
  4. Step 4: Simplify right side
    57,758.62x = 1,540,649,402.74
  5. Step 5: Solve for x
    x = 1,540,649,402.74/57,758.62
  6. Step 6: Final answer
    x = 26,673.93

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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.