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Finding the Fourth Proportional to 228,715.13, 315,626.90 and 139,291.13

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Solution

The fourth proportional to 228,715.13, 315,626.90 and 139,291.13 is: 192,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,715.13 : 315,626.90 = 139,291.13 : x
  2. Step 2: Convert to fraction form
    228,715.13/315,626.90 = 139,291.13/x
  3. Step 3: Cross multiply
    228,715.13x = 315,626.90 × 139,291.13
  4. Step 4: Simplify right side
    228,715.13x = 43,964,025,284.81
  5. Step 5: Solve for x
    x = 43,964,025,284.81/228,715.13
  6. Step 6: Final answer
    x = 192,221.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.