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Finding the Fourth Proportional to 85,091, 117,429.36 and 47,367.68

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Solution

The fourth proportional to 85,091, 117,429.36 and 47,367.68 is: 65,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,091 : 117,429.36 = 47,367.68 : x
  2. Step 2: Convert to fraction form
    85,091/117,429.36 = 47,367.68/x
  3. Step 3: Cross multiply
    85,091x = 117,429.36 × 47,367.68
  4. Step 4: Simplify right side
    85,091x = 5,562,356,347.08
  5. Step 5: Solve for x
    x = 5,562,356,347.08/85,091
  6. Step 6: Final answer
    x = 65,369.50

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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.