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Finding the Fourth Proportional to 211,098.65, 316,680.78 and 70,890.08

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Solution

The fourth proportional to 211,098.65, 316,680.78 and 70,890.08 is: 106,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,098.65 : 316,680.78 = 70,890.08 : x
  2. Step 2: Convert to fraction form
    211,098.65/316,680.78 = 70,890.08/x
  3. Step 3: Cross multiply
    211,098.65x = 316,680.78 × 70,890.08
  4. Step 4: Simplify right side
    211,098.65x = 22,449,524,245.26
  5. Step 5: Solve for x
    x = 22,449,524,245.26/211,098.65
  6. Step 6: Final answer
    x = 106,346.13

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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.