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Finding the Fourth Proportional to 85,477.76, 117,959.34 and 47,752

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Solution

The fourth proportional to 85,477.76, 117,959.34 and 47,752 is: 65,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,477.76 : 117,959.34 = 47,752 : x
  2. Step 2: Convert to fraction form
    85,477.76/117,959.34 = 47,752/x
  3. Step 3: Cross multiply
    85,477.76x = 117,959.34 × 47,752
  4. Step 4: Simplify right side
    85,477.76x = 5,632,794,403.68
  5. Step 5: Solve for x
    x = 5,632,794,403.68/85,477.76
  6. Step 6: Final answer
    x = 65,897.78

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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.