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Finding the Fourth Proportional to 77,781.75, 116,689.91 and 28,533.75

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Solution

The fourth proportional to 77,781.75, 116,689.91 and 28,533.75 is: 42,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781.75 : 116,689.91 = 28,533.75 : x
  2. Step 2: Convert to fraction form
    77,781.75/116,689.91 = 28,533.75/x
  3. Step 3: Cross multiply
    77,781.75x = 116,689.91 × 28,533.75
  4. Step 4: Simplify right side
    77,781.75x = 3,329,600,719.46
  5. Step 5: Solve for x
    x = 3,329,600,719.46/77,781.75
  6. Step 6: Final answer
    x = 42,806.97

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1.5x scale

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.