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Finding the Fourth Proportional to 143,142.61, 214,713.95 and 37,969.81

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Solution

The fourth proportional to 143,142.61, 214,713.95 and 37,969.81 is: 56,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,142.61 : 214,713.95 = 37,969.81 : x
  2. Step 2: Convert to fraction form
    143,142.61/214,713.95 = 37,969.81/x
  3. Step 3: Cross multiply
    143,142.61x = 214,713.95 × 37,969.81
  4. Step 4: Simplify right side
    143,142.61x = 8,152,647,885.85
  5. Step 5: Solve for x
    x = 8,152,647,885.85/143,142.61
  6. Step 6: Final answer
    x = 56,954.72

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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.