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Finding the Fourth Proportional to 65,784.36, 90,671.86 and 49,863.72

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Solution

The fourth proportional to 65,784.36, 90,671.86 and 49,863.72 is: 68,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.36 : 90,671.86 = 49,863.72 : x
  2. Step 2: Convert to fraction form
    65,784.36/90,671.86 = 49,863.72/x
  3. Step 3: Cross multiply
    65,784.36x = 90,671.86 × 49,863.72
  4. Step 4: Simplify right side
    65,784.36x = 4,521,236,238.92
  5. Step 5: Solve for x
    x = 4,521,236,238.92/65,784.36
  6. Step 6: Final answer
    x = 68,728.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.