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Finding the Fourth Proportional to 137,522.20, 206,283.30 and 102,530.20

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Solution

The fourth proportional to 137,522.20, 206,283.30 and 102,530.20 is: 153,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,522.20 : 206,283.30 = 102,530.20 : x
  2. Step 2: Convert to fraction form
    137,522.20/206,283.30 = 102,530.20/x
  3. Step 3: Cross multiply
    137,522.20x = 206,283.30 × 102,530.20
  4. Step 4: Simplify right side
    137,522.20x = 21,150,268,005.66
  5. Step 5: Solve for x
    x = 21,150,268,005.66/137,522.20
  6. Step 6: Final answer
    x = 153,795.30

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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.