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Finding the Fourth Proportional to 312,059.61, 468,138.02 and 101,648.61

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Solution

The fourth proportional to 312,059.61, 468,138.02 and 101,648.61 is: 152,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,059.61 : 468,138.02 = 101,648.61 : x
  2. Step 2: Convert to fraction form
    312,059.61/468,138.02 = 101,648.61/x
  3. Step 3: Cross multiply
    312,059.61x = 468,138.02 × 101,648.61
  4. Step 4: Simplify right side
    312,059.61x = 47,585,578,512.91
  5. Step 5: Solve for x
    x = 47,585,578,512.91/312,059.61
  6. Step 6: Final answer
    x = 152,488.75

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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.