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Finding the Fourth Proportional to 78,509.01, 117,745.82 and 22,347.87

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Solution

The fourth proportional to 78,509.01, 117,745.82 and 22,347.87 is: 33,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.01 : 117,745.82 = 22,347.87 : x
  2. Step 2: Convert to fraction form
    78,509.01/117,745.82 = 22,347.87/x
  3. Step 3: Cross multiply
    78,509.01x = 117,745.82 × 22,347.87
  4. Step 4: Simplify right side
    78,509.01x = 2,631,368,166.66
  5. Step 5: Solve for x
    x = 2,631,368,166.66/78,509.01
  6. Step 6: Final answer
    x = 33,516.77

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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.