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Finding the Fourth Proportional to 189,668.83, 284,545.62 and 71,341.21

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Solution

The fourth proportional to 189,668.83, 284,545.62 and 71,341.21 is: 107,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,668.83 : 284,545.62 = 71,341.21 : x
  2. Step 2: Convert to fraction form
    189,668.83/284,545.62 = 71,341.21/x
  3. Step 3: Cross multiply
    189,668.83x = 284,545.62 × 71,341.21
  4. Step 4: Simplify right side
    189,668.83x = 20,299,828,831.00
  5. Step 5: Solve for x
    x = 20,299,828,831.00/189,668.83
  6. Step 6: Final answer
    x = 107,027.75

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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.