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Finding the Fourth Proportional to 75,658.51, 113,385.70 and 28,885.87

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Solution

The fourth proportional to 75,658.51, 113,385.70 and 28,885.87 is: 43,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,658.51 : 113,385.70 = 28,885.87 : x
  2. Step 2: Convert to fraction form
    75,658.51/113,385.70 = 28,885.87/x
  3. Step 3: Cross multiply
    75,658.51x = 113,385.70 × 28,885.87
  4. Step 4: Simplify right side
    75,658.51x = 3,275,244,590.06
  5. Step 5: Solve for x
    x = 3,275,244,590.06/75,658.51
  6. Step 6: Final answer
    x = 43,289.84

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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.