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Finding the Fourth Proportional to 252,290, 378,435 and 102,611.72

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Solution

The fourth proportional to 252,290, 378,435 and 102,611.72 is: 153,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,290 : 378,435 = 102,611.72 : x
  2. Step 2: Convert to fraction form
    252,290/378,435 = 102,611.72/x
  3. Step 3: Cross multiply
    252,290x = 378,435 × 102,611.72
  4. Step 4: Simplify right side
    252,290x = 38,831,866,258.20
  5. Step 5: Solve for x
    x = 38,831,866,258.20/252,290
  6. Step 6: Final answer
    x = 153,917.58

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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.