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Finding the Fourth Proportional to 211,305.48, 316,967.94 and 86,559

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Solution

The fourth proportional to 211,305.48, 316,967.94 and 86,559 is: 129,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,305.48 : 316,967.94 = 86,559 : x
  2. Step 2: Convert to fraction form
    211,305.48/316,967.94 = 86,559/x
  3. Step 3: Cross multiply
    211,305.48x = 316,967.94 × 86,559
  4. Step 4: Simplify right side
    211,305.48x = 27,436,427,918.46
  5. Step 5: Solve for x
    x = 27,436,427,918.46/211,305.48
  6. Step 6: Final answer
    x = 129,842.48

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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.