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Finding the Fourth Proportional to 142,135.57, 213,157.99 and 57,895.57

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Solution

The fourth proportional to 142,135.57, 213,157.99 and 57,895.57 is: 86,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,135.57 : 213,157.99 = 57,895.57 : x
  2. Step 2: Convert to fraction form
    142,135.57/213,157.99 = 57,895.57/x
  3. Step 3: Cross multiply
    142,135.57x = 213,157.99 × 57,895.57
  4. Step 4: Simplify right side
    142,135.57x = 12,340,903,331.10
  5. Step 5: Solve for x
    x = 12,340,903,331.10/142,135.57
  6. Step 6: Final answer
    x = 86,824.88

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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.