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Finding the Fourth Proportional to 213,201, 319,802.72 and 88,542

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Solution

The fourth proportional to 213,201, 319,802.72 and 88,542 is: 132,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,201 : 319,802.72 = 88,542 : x
  2. Step 2: Convert to fraction form
    213,201/319,802.72 = 88,542/x
  3. Step 3: Cross multiply
    213,201x = 319,802.72 × 88,542
  4. Step 4: Simplify right side
    213,201x = 28,315,971,991.53
  5. Step 5: Solve for x
    x = 28,315,971,991.53/213,201
  6. Step 6: Final answer
    x = 132,813.50

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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.