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Finding the Fourth Proportional to 189,856.80, 284,828.40 and 110,930.40

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Solution

The fourth proportional to 189,856.80, 284,828.40 and 110,930.40 is: 166,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856.80 : 284,828.40 = 110,930.40 : x
  2. Step 2: Convert to fraction form
    189,856.80/284,828.40 = 110,930.40/x
  3. Step 3: Cross multiply
    189,856.80x = 284,828.40 × 110,930.40
  4. Step 4: Simplify right side
    189,856.80x = 31,596,128,343.36
  5. Step 5: Solve for x
    x = 31,596,128,343.36/189,856.80
  6. Step 6: Final answer
    x = 166,420.84

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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.