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Finding the Fourth Proportional to 142,738.60, 214,107.90 and 83,543.80

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Solution

The fourth proportional to 142,738.60, 214,107.90 and 83,543.80 is: 125,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,738.60 : 214,107.90 = 83,543.80 : x
  2. Step 2: Convert to fraction form
    142,738.60/214,107.90 = 83,543.80/x
  3. Step 3: Cross multiply
    142,738.60x = 214,107.90 × 83,543.80
  4. Step 4: Simplify right side
    142,738.60x = 17,887,387,576.02
  5. Step 5: Solve for x
    x = 17,887,387,576.02/142,738.60
  6. Step 6: Final answer
    x = 125,315.70

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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.