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Finding the Fourth Proportional to 97,806.39, 134,972.90 and 55,378.59

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Solution

The fourth proportional to 97,806.39, 134,972.90 and 55,378.59 is: 76,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.39 : 134,972.90 = 55,378.59 : x
  2. Step 2: Convert to fraction form
    97,806.39/134,972.90 = 55,378.59/x
  3. Step 3: Cross multiply
    97,806.39x = 134,972.90 × 55,378.59
  4. Step 4: Simplify right side
    97,806.39x = 7,474,608,613.32
  5. Step 5: Solve for x
    x = 7,474,608,613.32/97,806.39
  6. Step 6: Final answer
    x = 76,422.50

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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.