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Finding the Fourth Proportional to 142,930.60, 214,250.10 and 83,735.80

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Solution

The fourth proportional to 142,930.60, 214,250.10 and 83,735.80 is: 125,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,930.60 : 214,250.10 = 83,735.80 : x
  2. Step 2: Convert to fraction form
    142,930.60/214,250.10 = 83,735.80/x
  3. Step 3: Cross multiply
    142,930.60x = 214,250.10 × 83,735.80
  4. Step 4: Simplify right side
    142,930.60x = 17,940,403,523.58
  5. Step 5: Solve for x
    x = 17,940,403,523.58/142,930.60
  6. Step 6: Final answer
    x = 125,518.28

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1.5x scale

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.