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Finding the Fourth Proportional to 189,277.95, 261,203.88 and 103,237

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Solution

The fourth proportional to 189,277.95, 261,203.88 and 103,237 is: 142,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,277.95 : 261,203.88 = 103,237 : x
  2. Step 2: Convert to fraction form
    189,277.95/261,203.88 = 103,237/x
  3. Step 3: Cross multiply
    189,277.95x = 261,203.88 × 103,237
  4. Step 4: Simplify right side
    189,277.95x = 26,965,904,959.56
  5. Step 5: Solve for x
    x = 26,965,904,959.56/189,277.95
  6. Step 6: Final answer
    x = 142,467.23

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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.