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Finding the Fourth Proportional to 142,820.20, 214,230.30 and 139,539.70

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Solution

The fourth proportional to 142,820.20, 214,230.30 and 139,539.70 is: 209,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,820.20 : 214,230.30 = 139,539.70 : x
  2. Step 2: Convert to fraction form
    142,820.20/214,230.30 = 139,539.70/x
  3. Step 3: Cross multiply
    142,820.20x = 214,230.30 × 139,539.70
  4. Step 4: Simplify right side
    142,820.20x = 29,893,631,792.91
  5. Step 5: Solve for x
    x = 29,893,631,792.91/142,820.20
  6. Step 6: Final answer
    x = 209,309.55

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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.