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Finding the Fourth Proportional to 97,881.28, 146,843.80 and 31,325.40

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Solution

The fourth proportional to 97,881.28, 146,843.80 and 31,325.40 is: 46,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.28 : 146,843.80 = 31,325.40 : x
  2. Step 2: Convert to fraction form
    97,881.28/146,843.80 = 31,325.40/x
  3. Step 3: Cross multiply
    97,881.28x = 146,843.80 × 31,325.40
  4. Step 4: Simplify right side
    97,881.28x = 4,599,940,772.52
  5. Step 5: Solve for x
    x = 4,599,940,772.52/97,881.28
  6. Step 6: Final answer
    x = 46,995.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.