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Finding the Fourth Proportional to 189,242.99, 283,612.29 and 89,429.68

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Solution

The fourth proportional to 189,242.99, 283,612.29 and 89,429.68 is: 134,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,242.99 : 283,612.29 = 89,429.68 : x
  2. Step 2: Convert to fraction form
    189,242.99/283,612.29 = 89,429.68/x
  3. Step 3: Cross multiply
    189,242.99x = 283,612.29 × 89,429.68
  4. Step 4: Simplify right side
    189,242.99x = 25,363,356,338.77
  5. Step 5: Solve for x
    x = 25,363,356,338.77/189,242.99
  6. Step 6: Final answer
    x = 134,025.34

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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.