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Finding the Fourth Proportional to 210,874.10, 316,311.15 and 86,185.94

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Solution

The fourth proportional to 210,874.10, 316,311.15 and 86,185.94 is: 129,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,874.10 : 316,311.15 = 86,185.94 : x
  2. Step 2: Convert to fraction form
    210,874.10/316,311.15 = 86,185.94/x
  3. Step 3: Cross multiply
    210,874.10x = 316,311.15 × 86,185.94
  4. Step 4: Simplify right side
    210,874.10x = 27,261,573,795.23
  5. Step 5: Solve for x
    x = 27,261,573,795.23/210,874.10
  6. Step 6: Final answer
    x = 129,278.91

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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.