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Finding the Fourth Proportional to 78,815.52, 118,205.46 and 22,655.52

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Solution

The fourth proportional to 78,815.52, 118,205.46 and 22,655.52 is: 33,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815.52 : 118,205.46 = 22,655.52 : x
  2. Step 2: Convert to fraction form
    78,815.52/118,205.46 = 22,655.52/x
  3. Step 3: Cross multiply
    78,815.52x = 118,205.46 × 22,655.52
  4. Step 4: Simplify right side
    78,815.52x = 2,678,006,163.14
  5. Step 5: Solve for x
    x = 2,678,006,163.14/78,815.52
  6. Step 6: Final answer
    x = 33,978.16

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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.