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Finding the Fourth Proportional to 381,085.96, 571,651.38 and 128,345.32

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Solution

The fourth proportional to 381,085.96, 571,651.38 and 128,345.32 is: 192,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,085.96 : 571,651.38 = 128,345.32 : x
  2. Step 2: Convert to fraction form
    381,085.96/571,651.38 = 128,345.32/x
  3. Step 3: Cross multiply
    381,085.96x = 571,651.38 × 128,345.32
  4. Step 4: Simplify right side
    381,085.96x = 73,368,779,294.54
  5. Step 5: Solve for x
    x = 73,368,779,294.54/381,085.96
  6. Step 6: Final answer
    x = 192,525.54

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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.