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Finding the Fourth Proportional to 201,862.90, 302,721.45 and 101,989.90

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Solution

The fourth proportional to 201,862.90, 302,721.45 and 101,989.90 is: 152,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.90 : 302,721.45 = 101,989.90 : x
  2. Step 2: Convert to fraction form
    201,862.90/302,721.45 = 101,989.90/x
  3. Step 3: Cross multiply
    201,862.90x = 302,721.45 × 101,989.90
  4. Step 4: Simplify right side
    201,862.90x = 30,874,530,413.36
  5. Step 5: Solve for x
    x = 30,874,530,413.36/201,862.90
  6. Step 6: Final answer
    x = 152,948.02

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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.