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Finding the Fourth Proportional to 85,455.52, 117,929.65 and 47,214.91

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Solution

The fourth proportional to 85,455.52, 117,929.65 and 47,214.91 is: 65,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455.52 : 117,929.65 = 47,214.91 : x
  2. Step 2: Convert to fraction form
    85,455.52/117,929.65 = 47,214.91/x
  3. Step 3: Cross multiply
    85,455.52x = 117,929.65 × 47,214.91
  4. Step 4: Simplify right side
    85,455.52x = 5,568,037,811.08
  5. Step 5: Solve for x
    x = 5,568,037,811.08/85,455.52
  6. Step 6: Final answer
    x = 65,157.15

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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.