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Finding the Fourth Proportional to 228,081.66, 342,037.41 and 78,279.45

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Solution

The fourth proportional to 228,081.66, 342,037.41 and 78,279.45 is: 117,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,081.66 : 342,037.41 = 78,279.45 : x
  2. Step 2: Convert to fraction form
    228,081.66/342,037.41 = 78,279.45/x
  3. Step 3: Cross multiply
    228,081.66x = 342,037.41 × 78,279.45
  4. Step 4: Simplify right side
    228,081.66x = 26,774,500,334.22
  5. Step 5: Solve for x
    x = 26,774,500,334.22/228,081.66
  6. Step 6: Final answer
    x = 117,389.97

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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.