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Finding the Fourth Proportional to 210,821.90, 316,212.26 and 116,020.91

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Solution

The fourth proportional to 210,821.90, 316,212.26 and 116,020.91 is: 174,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,821.90 : 316,212.26 = 116,020.91 : x
  2. Step 2: Convert to fraction form
    210,821.90/316,212.26 = 116,020.91/x
  3. Step 3: Cross multiply
    210,821.90x = 316,212.26 × 116,020.91
  4. Step 4: Simplify right side
    210,821.90x = 36,687,234,368.78
  5. Step 5: Solve for x
    x = 36,687,234,368.78/210,821.90
  6. Step 6: Final answer
    x = 174,020.04

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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.