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Finding the Fourth Proportional to 201,874.30, 302,702.10 and 83,411.80

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Solution

The fourth proportional to 201,874.30, 302,702.10 and 83,411.80 is: 125,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.30 : 302,702.10 = 83,411.80 : x
  2. Step 2: Convert to fraction form
    201,874.30/302,702.10 = 83,411.80/x
  3. Step 3: Cross multiply
    201,874.30x = 302,702.10 × 83,411.80
  4. Step 4: Simplify right side
    201,874.30x = 25,248,927,024.78
  5. Step 5: Solve for x
    x = 25,248,927,024.78/201,874.30
  6. Step 6: Final answer
    x = 125,072.52

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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.