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Finding the Fourth Proportional to 143,105.30, 214,657.95 and 101,114.90

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Solution

The fourth proportional to 143,105.30, 214,657.95 and 101,114.90 is: 151,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,105.30 : 214,657.95 = 101,114.90 : x
  2. Step 2: Convert to fraction form
    143,105.30/214,657.95 = 101,114.90/x
  3. Step 3: Cross multiply
    143,105.30x = 214,657.95 × 101,114.90
  4. Step 4: Simplify right side
    143,105.30x = 21,705,117,148.46
  5. Step 5: Solve for x
    x = 21,705,117,148.46/143,105.30
  6. Step 6: Final answer
    x = 151,672.35

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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.