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Finding the Fourth Proportional to 189,012.92, 283,420.96 and 89,146.28

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Solution

The fourth proportional to 189,012.92, 283,420.96 and 89,146.28 is: 133,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,012.92 : 283,420.96 = 89,146.28 : x
  2. Step 2: Convert to fraction form
    189,012.92/283,420.96 = 89,146.28/x
  3. Step 3: Cross multiply
    189,012.92x = 283,420.96 × 89,146.28
  4. Step 4: Simplify right side
    189,012.92x = 25,265,924,258.03
  5. Step 5: Solve for x
    x = 25,265,924,258.03/189,012.92
  6. Step 6: Final answer
    x = 133,673.00

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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.