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Finding the Fourth Proportional to 77,789.64, 116,684.64 and 52,767.80

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Solution

The fourth proportional to 77,789.64, 116,684.64 and 52,767.80 is: 79,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,789.64 : 116,684.64 = 52,767.80 : x
  2. Step 2: Convert to fraction form
    77,789.64/116,684.64 = 52,767.80/x
  3. Step 3: Cross multiply
    77,789.64x = 116,684.64 × 52,767.80
  4. Step 4: Simplify right side
    77,789.64x = 6,157,191,746.59
  5. Step 5: Solve for x
    x = 6,157,191,746.59/77,789.64
  6. Step 6: Final answer
    x = 79,151.82

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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.