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Finding the Fourth Proportional to 211,302.48, 316,963.44 and 86,556

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Solution

The fourth proportional to 211,302.48, 316,963.44 and 86,556 is: 129,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,302.48 : 316,963.44 = 86,556 : x
  2. Step 2: Convert to fraction form
    211,302.48/316,963.44 = 86,556/x
  3. Step 3: Cross multiply
    211,302.48x = 316,963.44 × 86,556
  4. Step 4: Simplify right side
    211,302.48x = 27,435,087,512.64
  5. Step 5: Solve for x
    x = 27,435,087,512.64/211,302.48
  6. Step 6: Final answer
    x = 129,837.98

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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.