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Finding the Fourth Proportional to 97,120.46, 134,046.91 and 65,270.90

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Solution

The fourth proportional to 97,120.46, 134,046.91 and 65,270.90 is: 90,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,120.46 : 134,046.91 = 65,270.90 : x
  2. Step 2: Convert to fraction form
    97,120.46/134,046.91 = 65,270.90/x
  3. Step 3: Cross multiply
    97,120.46x = 134,046.91 × 65,270.90
  4. Step 4: Simplify right side
    97,120.46x = 8,749,362,364.87
  5. Step 5: Solve for x
    x = 8,749,362,364.87/97,120.46
  6. Step 6: Final answer
    x = 90,087.74

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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.