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Finding the Fourth Proportional to 213,988.71, 320,982.28 and 64,228.35

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Solution

The fourth proportional to 213,988.71, 320,982.28 and 64,228.35 is: 96,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,988.71 : 320,982.28 = 64,228.35 : x
  2. Step 2: Convert to fraction form
    213,988.71/320,982.28 = 64,228.35/x
  3. Step 3: Cross multiply
    213,988.71x = 320,982.28 × 64,228.35
  4. Step 4: Simplify right side
    213,988.71x = 20,616,162,223.64
  5. Step 5: Solve for x
    x = 20,616,162,223.64/213,988.71
  6. Step 6: Final answer
    x = 96,342.29

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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.