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Finding the Fourth Proportional to 213,348.65, 320,021.82 and 86,988.40

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Solution

The fourth proportional to 213,348.65, 320,021.82 and 86,988.40 is: 130,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,348.65 : 320,021.82 = 86,988.40 : x
  2. Step 2: Convert to fraction form
    213,348.65/320,021.82 = 86,988.40/x
  3. Step 3: Cross multiply
    213,348.65x = 320,021.82 × 86,988.40
  4. Step 4: Simplify right side
    213,348.65x = 27,838,187,086.96
  5. Step 5: Solve for x
    x = 27,838,187,086.96/213,348.65
  6. Step 6: Final answer
    x = 130,482.13

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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.