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Finding the Fourth Proportional to 210,794.37, 316,192.10 and 86,135.37

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Solution

The fourth proportional to 210,794.37, 316,192.10 and 86,135.37 is: 129,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,794.37 : 316,192.10 = 86,135.37 : x
  2. Step 2: Convert to fraction form
    210,794.37/316,192.10 = 86,135.37/x
  3. Step 3: Cross multiply
    210,794.37x = 316,192.10 × 86,135.37
  4. Step 4: Simplify right side
    210,794.37x = 27,235,323,093.90
  5. Step 5: Solve for x
    x = 27,235,323,093.90/210,794.37
  6. Step 6: Final answer
    x = 129,203.28

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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.