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Finding the Fourth Proportional to 189,008.51, 283,414.32 and 89,141.88

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Solution

The fourth proportional to 189,008.51, 283,414.32 and 89,141.88 is: 133,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008.51 : 283,414.32 = 89,141.88 : x
  2. Step 2: Convert to fraction form
    189,008.51/283,414.32 = 89,141.88/x
  3. Step 3: Cross multiply
    189,008.51x = 283,414.32 × 89,141.88
  4. Step 4: Simplify right side
    189,008.51x = 25,264,085,303.72
  5. Step 5: Solve for x
    x = 25,264,085,303.72/189,008.51
  6. Step 6: Final answer
    x = 133,666.39

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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.