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Finding the Fourth Proportional to 210,917.77, 316,401.31 and 74,098.88

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Solution

The fourth proportional to 210,917.77, 316,401.31 and 74,098.88 is: 111,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,917.77 : 316,401.31 = 74,098.88 : x
  2. Step 2: Convert to fraction form
    210,917.77/316,401.31 = 74,098.88/x
  3. Step 3: Cross multiply
    210,917.77x = 316,401.31 × 74,098.88
  4. Step 4: Simplify right side
    210,917.77x = 23,444,980,934.28
  5. Step 5: Solve for x
    x = 23,444,980,934.28/210,917.77
  6. Step 6: Final answer
    x = 111,156.97

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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.