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Finding the Fourth Proportional to 189,820.80, 284,342.40 and 96,379.20

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Solution

The fourth proportional to 189,820.80, 284,342.40 and 96,379.20 is: 144,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,820.80 : 284,342.40 = 96,379.20 : x
  2. Step 2: Convert to fraction form
    189,820.80/284,342.40 = 96,379.20/x
  3. Step 3: Cross multiply
    189,820.80x = 284,342.40 × 96,379.20
  4. Step 4: Simplify right side
    189,820.80x = 27,404,693,038.08
  5. Step 5: Solve for x
    x = 27,404,693,038.08/189,820.80
  6. Step 6: Final answer
    x = 144,371.39

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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.