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Finding the Fourth Proportional to 210,992.88, 316,407.30 and 76,020.96

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Solution

The fourth proportional to 210,992.88, 316,407.30 and 76,020.96 is: 114,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,992.88 : 316,407.30 = 76,020.96 : x
  2. Step 2: Convert to fraction form
    210,992.88/316,407.30 = 76,020.96/x
  3. Step 3: Cross multiply
    210,992.88x = 316,407.30 × 76,020.96
  4. Step 4: Simplify right side
    210,992.88x = 24,053,586,697.01
  5. Step 5: Solve for x
    x = 24,053,586,697.01/210,992.88
  6. Step 6: Final answer
    x = 114,001.89

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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.