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Finding the Fourth Proportional to 271,932.58, 407,856.72 and 138,911.14

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Solution

The fourth proportional to 271,932.58, 407,856.72 and 138,911.14 is: 208,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932.58 : 407,856.72 = 138,911.14 : x
  2. Step 2: Convert to fraction form
    271,932.58/407,856.72 = 138,911.14/x
  3. Step 3: Cross multiply
    271,932.58x = 407,856.72 × 138,911.14
  4. Step 4: Simplify right side
    271,932.58x = 56,655,841,931.86
  5. Step 5: Solve for x
    x = 56,655,841,931.86/271,932.58
  6. Step 6: Final answer
    x = 208,345.18

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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.