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Finding the Fourth Proportional to 213,956.78, 295,264.95 and 117,164.72

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Solution

The fourth proportional to 213,956.78, 295,264.95 and 117,164.72 is: 161,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,956.78 : 295,264.95 = 117,164.72 : x
  2. Step 2: Convert to fraction form
    213,956.78/295,264.95 = 117,164.72/x
  3. Step 3: Cross multiply
    213,956.78x = 295,264.95 × 117,164.72
  4. Step 4: Simplify right side
    213,956.78x = 34,594,635,192.56
  5. Step 5: Solve for x
    x = 34,594,635,192.56/213,956.78
  6. Step 6: Final answer
    x = 161,689.83

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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.