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Finding the Fourth Proportional to 97,157.76, 134,078.10 and 54,717

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Solution

The fourth proportional to 97,157.76, 134,078.10 and 54,717 is: 75,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,157.76 : 134,078.10 = 54,717 : x
  2. Step 2: Convert to fraction form
    97,157.76/134,078.10 = 54,717/x
  3. Step 3: Cross multiply
    97,157.76x = 134,078.10 × 54,717
  4. Step 4: Simplify right side
    97,157.76x = 7,336,351,397.70
  5. Step 5: Solve for x
    x = 7,336,351,397.70/97,157.76
  6. Step 6: Final answer
    x = 75,509.68

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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.