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Finding the Fourth Proportional to 208,385.28, 312,221.76 and 148,917.12

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Solution

The fourth proportional to 208,385.28, 312,221.76 and 148,917.12 is: 223,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,385.28 : 312,221.76 = 148,917.12 : x
  2. Step 2: Convert to fraction form
    208,385.28/312,221.76 = 148,917.12/x
  3. Step 3: Cross multiply
    208,385.28x = 312,221.76 × 148,917.12
  4. Step 4: Simplify right side
    208,385.28x = 46,495,165,300.53
  5. Step 5: Solve for x
    x = 46,495,165,300.53/208,385.28
  6. Step 6: Final answer
    x = 223,121.16

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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.