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Finding the Fourth Proportional to 77,778, 116,684.28 and 28,530

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Solution

The fourth proportional to 77,778, 116,684.28 and 28,530 is: 42,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778 : 116,684.28 = 28,530 : x
  2. Step 2: Convert to fraction form
    77,778/116,684.28 = 28,530/x
  3. Step 3: Cross multiply
    77,778x = 116,684.28 × 28,530
  4. Step 4: Simplify right side
    77,778x = 3,329,002,508.40
  5. Step 5: Solve for x
    x = 3,329,002,508.40/77,778
  6. Step 6: Final answer
    x = 42,801.34

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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.