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Finding the Fourth Proportional to 211,138.52, 291,371.20 and 115,648.64

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Solution

The fourth proportional to 211,138.52, 291,371.20 and 115,648.64 is: 159,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,138.52 : 291,371.20 = 115,648.64 : x
  2. Step 2: Convert to fraction form
    211,138.52/291,371.20 = 115,648.64/x
  3. Step 3: Cross multiply
    211,138.52x = 291,371.20 × 115,648.64
  4. Step 4: Simplify right side
    211,138.52x = 33,696,681,867.61
  5. Step 5: Solve for x
    x = 33,696,681,867.61/211,138.52
  6. Step 6: Final answer
    x = 159,595.14

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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.