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Finding the Fourth Proportional to 210,894.08, 291,033.82 and 115,400.78

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Solution

The fourth proportional to 210,894.08, 291,033.82 and 115,400.78 is: 159,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,894.08 : 291,033.82 = 115,400.78 : x
  2. Step 2: Convert to fraction form
    210,894.08/291,033.82 = 115,400.78/x
  3. Step 3: Cross multiply
    210,894.08x = 291,033.82 × 115,400.78
  4. Step 4: Simplify right side
    210,894.08x = 33,585,529,834.38
  5. Step 5: Solve for x
    x = 33,585,529,834.38/210,894.08
  6. Step 6: Final answer
    x = 159,253.07

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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.