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Finding the Fourth Proportional to 78,578.24, 117,866.74 and 52,043

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Solution

The fourth proportional to 78,578.24, 117,866.74 and 52,043 is: 78,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.24 : 117,866.74 = 52,043 : x
  2. Step 2: Convert to fraction form
    78,578.24/117,866.74 = 52,043/x
  3. Step 3: Cross multiply
    78,578.24x = 117,866.74 × 52,043
  4. Step 4: Simplify right side
    78,578.24x = 6,134,138,749.82
  5. Step 5: Solve for x
    x = 6,134,138,749.82/78,578.24
  6. Step 6: Final answer
    x = 78,064.09

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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.