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Finding the Fourth Proportional to 142,741.60, 214,144.80 and 83,546.80

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Solution

The fourth proportional to 142,741.60, 214,144.80 and 83,546.80 is: 125,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,741.60 : 214,144.80 = 83,546.80 : x
  2. Step 2: Convert to fraction form
    142,741.60/214,144.80 = 83,546.80/x
  3. Step 3: Cross multiply
    142,741.60x = 214,144.80 × 83,546.80
  4. Step 4: Simplify right side
    142,741.60x = 17,891,112,776.64
  5. Step 5: Solve for x
    x = 17,891,112,776.64/142,741.60
  6. Step 6: Final answer
    x = 125,339.16

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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.