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Finding the Fourth Proportional to 208,718.61, 312,660.56 and 96,244.85

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Solution

The fourth proportional to 208,718.61, 312,660.56 and 96,244.85 is: 144,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,718.61 : 312,660.56 = 96,244.85 : x
  2. Step 2: Convert to fraction form
    208,718.61/312,660.56 = 96,244.85/x
  3. Step 3: Cross multiply
    208,718.61x = 312,660.56 × 96,244.85
  4. Step 4: Simplify right side
    208,718.61x = 30,091,967,134.81
  5. Step 5: Solve for x
    x = 30,091,967,134.81/208,718.61
  6. Step 6: Final answer
    x = 144,174.82

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1.5x scale

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.