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Finding the Fourth Proportional to 213,348.90, 320,022.20 and 86,988.65

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Solution

The fourth proportional to 213,348.90, 320,022.20 and 86,988.65 is: 130,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,348.90 : 320,022.20 = 86,988.65 : x
  2. Step 2: Convert to fraction form
    213,348.90/320,022.20 = 86,988.65/x
  3. Step 3: Cross multiply
    213,348.90x = 320,022.20 × 86,988.65
  4. Step 4: Simplify right side
    213,348.90x = 27,838,299,913.17
  5. Step 5: Solve for x
    x = 27,838,299,913.17/213,348.90
  6. Step 6: Final answer
    x = 130,482.51

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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.