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Finding the Fourth Proportional to 97,654.21, 134,769.59 and 54,647.87

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Solution

The fourth proportional to 97,654.21, 134,769.59 and 54,647.87 is: 75,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,654.21 : 134,769.59 = 54,647.87 : x
  2. Step 2: Convert to fraction form
    97,654.21/134,769.59 = 54,647.87/x
  3. Step 3: Cross multiply
    97,654.21x = 134,769.59 × 54,647.87
  4. Step 4: Simplify right side
    97,654.21x = 7,364,870,292.12
  5. Step 5: Solve for x
    x = 7,364,870,292.12/97,654.21
  6. Step 6: Final answer
    x = 75,417.85

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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.