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Finding the Fourth Proportional to 85,328, 117,752.64 and 47,602.24

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Solution

The fourth proportional to 85,328, 117,752.64 and 47,602.24 is: 65,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,328 : 117,752.64 = 47,602.24 : x
  2. Step 2: Convert to fraction form
    85,328/117,752.64 = 47,602.24/x
  3. Step 3: Cross multiply
    85,328x = 117,752.64 × 47,602.24
  4. Step 4: Simplify right side
    85,328x = 5,605,289,429.91
  5. Step 5: Solve for x
    x = 5,605,289,429.91/85,328
  6. Step 6: Final answer
    x = 65,691.09

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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.