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Finding the Fourth Proportional to 77,761, 116,658.78 and 28,513

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Solution

The fourth proportional to 77,761, 116,658.78 and 28,513 is: 42,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761 : 116,658.78 = 28,513 : x
  2. Step 2: Convert to fraction form
    77,761/116,658.78 = 28,513/x
  3. Step 3: Cross multiply
    77,761x = 116,658.78 × 28,513
  4. Step 4: Simplify right side
    77,761x = 3,326,291,794.14
  5. Step 5: Solve for x
    x = 3,326,291,794.14/77,761
  6. Step 6: Final answer
    x = 42,775.84

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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.