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Finding the Fourth Proportional to 69,937, 96,514.02 and 40,129

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Solution

The fourth proportional to 69,937, 96,514.02 and 40,129 is: 55,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,937 : 96,514.02 = 40,129 : x
  2. Step 2: Convert to fraction form
    69,937/96,514.02 = 40,129/x
  3. Step 3: Cross multiply
    69,937x = 96,514.02 × 40,129
  4. Step 4: Simplify right side
    69,937x = 3,873,011,108.58
  5. Step 5: Solve for x
    x = 3,873,011,108.58/69,937
  6. Step 6: Final answer
    x = 55,378.57

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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.