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Finding the Fourth Proportional to 77,782, 116,690.28 and 28,534

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Solution

The fourth proportional to 77,782, 116,690.28 and 28,534 is: 42,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782 : 116,690.28 = 28,534 : x
  2. Step 2: Convert to fraction form
    77,782/116,690.28 = 28,534/x
  3. Step 3: Cross multiply
    77,782x = 116,690.28 × 28,534
  4. Step 4: Simplify right side
    77,782x = 3,329,640,449.52
  5. Step 5: Solve for x
    x = 3,329,640,449.52/77,782
  6. Step 6: Final answer
    x = 42,807.34

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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.