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Finding the Fourth Proportional to 210,714.66, 316,072.29 and 86,055.66

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Solution

The fourth proportional to 210,714.66, 316,072.29 and 86,055.66 is: 129,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,714.66 : 316,072.29 = 86,055.66 : x
  2. Step 2: Convert to fraction form
    210,714.66/316,072.29 = 86,055.66/x
  3. Step 3: Cross multiply
    210,714.66x = 316,072.29 × 86,055.66
  4. Step 4: Simplify right side
    210,714.66x = 27,199,809,523.66
  5. Step 5: Solve for x
    x = 27,199,809,523.66/210,714.66
  6. Step 6: Final answer
    x = 129,083.61

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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.