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Finding the Fourth Proportional to 78,284.52, 117,203.04 and 51,936.84

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Solution

The fourth proportional to 78,284.52, 117,203.04 and 51,936.84 is: 77,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.52 : 117,203.04 = 51,936.84 : x
  2. Step 2: Convert to fraction form
    78,284.52/117,203.04 = 51,936.84/x
  3. Step 3: Cross multiply
    78,284.52x = 117,203.04 × 51,936.84
  4. Step 4: Simplify right side
    78,284.52x = 6,087,155,535.99
  5. Step 5: Solve for x
    x = 6,087,155,535.99/78,284.52
  6. Step 6: Final answer
    x = 77,756.82

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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.