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Finding the Fourth Proportional to 142,119.64, 213,054 and 57,950.20

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Solution

The fourth proportional to 142,119.64, 213,054 and 57,950.20 is: 86,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,119.64 : 213,054 = 57,950.20 : x
  2. Step 2: Convert to fraction form
    142,119.64/213,054 = 57,950.20/x
  3. Step 3: Cross multiply
    142,119.64x = 213,054 × 57,950.20
  4. Step 4: Simplify right side
    142,119.64x = 12,346,521,910.80
  5. Step 5: Solve for x
    x = 12,346,521,910.80/142,119.64
  6. Step 6: Final answer
    x = 86,874.14

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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.