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Finding the Fourth Proportional to 57,758.59, 86,646.08 and 17,780.89

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Solution

The fourth proportional to 57,758.59, 86,646.08 and 17,780.89 is: 26,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758.59 : 86,646.08 = 17,780.89 : x
  2. Step 2: Convert to fraction form
    57,758.59/86,646.08 = 17,780.89/x
  3. Step 3: Cross multiply
    57,758.59x = 86,646.08 × 17,780.89
  4. Step 4: Simplify right side
    57,758.59x = 1,540,644,407.71
  5. Step 5: Solve for x
    x = 1,540,644,407.71/57,758.59
  6. Step 6: Final answer
    x = 26,673.86

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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.