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Finding the Fourth Proportional to 189,417.20, 283,996.20 and 89,625.20

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Solution

The fourth proportional to 189,417.20, 283,996.20 and 89,625.20 is: 134,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,417.20 : 283,996.20 = 89,625.20 : x
  2. Step 2: Convert to fraction form
    189,417.20/283,996.20 = 89,625.20/x
  3. Step 3: Cross multiply
    189,417.20x = 283,996.20 × 89,625.20
  4. Step 4: Simplify right side
    189,417.20x = 25,453,216,224.24
  5. Step 5: Solve for x
    x = 25,453,216,224.24/189,417.20
  6. Step 6: Final answer
    x = 134,376.48

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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.