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Finding the Fourth Proportional to 203,064, 304,702.56 and 83,209.92

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Solution

The fourth proportional to 203,064, 304,702.56 and 83,209.92 is: 124,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,064 : 304,702.56 = 83,209.92 : x
  2. Step 2: Convert to fraction form
    203,064/304,702.56 = 83,209.92/x
  3. Step 3: Cross multiply
    203,064x = 304,702.56 × 83,209.92
  4. Step 4: Simplify right side
    203,064x = 25,354,275,641.40
  5. Step 5: Solve for x
    x = 25,354,275,641.40/203,064
  6. Step 6: Final answer
    x = 124,858.55

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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.