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Finding the Fourth Proportional to 74,109.48, 111,130.68 and 31,969.68

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Solution

The fourth proportional to 74,109.48, 111,130.68 and 31,969.68 is: 47,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,109.48 : 111,130.68 = 31,969.68 : x
  2. Step 2: Convert to fraction form
    74,109.48/111,130.68 = 31,969.68/x
  3. Step 3: Cross multiply
    74,109.48x = 111,130.68 × 31,969.68
  4. Step 4: Simplify right side
    74,109.48x = 3,552,812,277.78
  5. Step 5: Solve for x
    x = 3,552,812,277.78/74,109.48
  6. Step 6: Final answer
    x = 47,940.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.