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Finding the Fourth Proportional to 56,854.62, 78,491.07 and 39,910.86

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Solution

The fourth proportional to 56,854.62, 78,491.07 and 39,910.86 is: 55,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,854.62 : 78,491.07 = 39,910.86 : x
  2. Step 2: Convert to fraction form
    56,854.62/78,491.07 = 39,910.86/x
  3. Step 3: Cross multiply
    56,854.62x = 78,491.07 × 39,910.86
  4. Step 4: Simplify right side
    56,854.62x = 3,132,646,106.02
  5. Step 5: Solve for x
    x = 3,132,646,106.02/56,854.62
  6. Step 6: Final answer
    x = 55,099.24

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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.