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Finding the Fourth Proportional to 210,790.37, 316,186.10 and 86,131.37

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Solution

The fourth proportional to 210,790.37, 316,186.10 and 86,131.37 is: 129,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,790.37 : 316,186.10 = 86,131.37 : x
  2. Step 2: Convert to fraction form
    210,790.37/316,186.10 = 86,131.37/x
  3. Step 3: Cross multiply
    210,790.37x = 316,186.10 × 86,131.37
  4. Step 4: Simplify right side
    210,790.37x = 27,233,541,967.96
  5. Step 5: Solve for x
    x = 27,233,541,967.96/210,790.37
  6. Step 6: Final answer
    x = 129,197.28

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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.