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Finding the Fourth Proportional to 100,362.71, 138,502.31 and 55,037.88

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Solution

The fourth proportional to 100,362.71, 138,502.31 and 55,037.88 is: 75,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,362.71 : 138,502.31 = 55,037.88 : x
  2. Step 2: Convert to fraction form
    100,362.71/138,502.31 = 55,037.88/x
  3. Step 3: Cross multiply
    100,362.71x = 138,502.31 × 55,037.88
  4. Step 4: Simplify right side
    100,362.71x = 7,622,873,242.31
  5. Step 5: Solve for x
    x = 7,622,873,242.31/100,362.71
  6. Step 6: Final answer
    x = 75,953.24

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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.