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Finding the Fourth Proportional to 210,866.01, 316,299.21 and 86,207.01

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Solution

The fourth proportional to 210,866.01, 316,299.21 and 86,207.01 is: 129,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,866.01 : 316,299.21 = 86,207.01 : x
  2. Step 2: Convert to fraction form
    210,866.01/316,299.21 = 86,207.01/x
  3. Step 3: Cross multiply
    210,866.01x = 316,299.21 × 86,207.01
  4. Step 4: Simplify right side
    210,866.01x = 27,267,209,159.46
  5. Step 5: Solve for x
    x = 27,267,209,159.46/210,866.01
  6. Step 6: Final answer
    x = 129,310.59

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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.