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Finding the Fourth Proportional to 211,216.17, 316,818.75 and 70,974.78

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Solution

The fourth proportional to 211,216.17, 316,818.75 and 70,974.78 is: 106,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,216.17 : 316,818.75 = 70,974.78 : x
  2. Step 2: Convert to fraction form
    211,216.17/316,818.75 = 70,974.78/x
  3. Step 3: Cross multiply
    211,216.17x = 316,818.75 × 70,974.78
  4. Step 4: Simplify right side
    211,216.17x = 22,486,141,081.13
  5. Step 5: Solve for x
    x = 22,486,141,081.13/211,216.17
  6. Step 6: Final answer
    x = 106,460.32

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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.