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Finding the Fourth Proportional to 210,886.65, 316,331.18 and 86,227.65

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Solution

The fourth proportional to 210,886.65, 316,331.18 and 86,227.65 is: 129,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,886.65 : 316,331.18 = 86,227.65 : x
  2. Step 2: Convert to fraction form
    210,886.65/316,331.18 = 86,227.65/x
  3. Step 3: Cross multiply
    210,886.65x = 316,331.18 × 86,227.65
  4. Step 4: Simplify right side
    210,886.65x = 27,276,493,841.99
  5. Step 5: Solve for x
    x = 27,276,493,841.99/210,886.65
  6. Step 6: Final answer
    x = 129,341.97

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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.