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Finding the Fourth Proportional to 135,425.52, 186,825.60 and 78,804

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Solution

The fourth proportional to 135,425.52, 186,825.60 and 78,804 is: 108,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,425.52 : 186,825.60 = 78,804 : x
  2. Step 2: Convert to fraction form
    135,425.52/186,825.60 = 78,804/x
  3. Step 3: Cross multiply
    135,425.52x = 186,825.60 × 78,804
  4. Step 4: Simplify right side
    135,425.52x = 14,722,604,582.40
  5. Step 5: Solve for x
    x = 14,722,604,582.40/135,425.52
  6. Step 6: Final answer
    x = 108,713.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.