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Finding the Fourth Proportional to 78,825.30, 118,237.95 and 36,705.30

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Solution

The fourth proportional to 78,825.30, 118,237.95 and 36,705.30 is: 55,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825.30 : 118,237.95 = 36,705.30 : x
  2. Step 2: Convert to fraction form
    78,825.30/118,237.95 = 36,705.30/x
  3. Step 3: Cross multiply
    78,825.30x = 118,237.95 × 36,705.30
  4. Step 4: Simplify right side
    78,825.30x = 4,339,959,426.14
  5. Step 5: Solve for x
    x = 4,339,959,426.14/78,825.30
  6. Step 6: Final answer
    x = 55,057.95

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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.