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Finding the Fourth Proportional to 84,900, 127,358.10 and 34,983.48

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Solution

The fourth proportional to 84,900, 127,358.10 and 34,983.48 is: 52,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,900 : 127,358.10 = 34,983.48 : x
  2. Step 2: Convert to fraction form
    84,900/127,358.10 = 34,983.48/x
  3. Step 3: Cross multiply
    84,900x = 127,358.10 × 34,983.48
  4. Step 4: Simplify right side
    84,900x = 4,455,429,544.19
  5. Step 5: Solve for x
    x = 4,455,429,544.19/84,900
  6. Step 6: Final answer
    x = 52,478.56

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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.