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Finding the Fourth Proportional to 213,395.92, 294,492.31 and 117,908.76

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Solution

The fourth proportional to 213,395.92, 294,492.31 and 117,908.76 is: 162,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,395.92 : 294,492.31 = 117,908.76 : x
  2. Step 2: Convert to fraction form
    213,395.92/294,492.31 = 117,908.76/x
  3. Step 3: Cross multiply
    213,395.92x = 294,492.31 × 117,908.76
  4. Step 4: Simplify right side
    213,395.92x = 34,723,223,911.21
  5. Step 5: Solve for x
    x = 34,723,223,911.21/213,395.92
  6. Step 6: Final answer
    x = 162,717.38

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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.