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Finding the Fourth Proportional to 228,140.58, 342,123.75 and 91,321.86

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Solution

The fourth proportional to 228,140.58, 342,123.75 and 91,321.86 is: 136,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,140.58 : 342,123.75 = 91,321.86 : x
  2. Step 2: Convert to fraction form
    228,140.58/342,123.75 = 91,321.86/x
  3. Step 3: Cross multiply
    228,140.58x = 342,123.75 × 91,321.86
  4. Step 4: Simplify right side
    228,140.58x = 31,243,377,200.18
  5. Step 5: Solve for x
    x = 31,243,377,200.18/228,140.58
  6. Step 6: Final answer
    x = 136,947.92

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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.