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Finding the Fourth Proportional to 109,160.99, 150,634.10 and 61,405.14

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Solution

The fourth proportional to 109,160.99, 150,634.10 and 61,405.14 is: 84,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,160.99 : 150,634.10 = 61,405.14 : x
  2. Step 2: Convert to fraction form
    109,160.99/150,634.10 = 61,405.14/x
  3. Step 3: Cross multiply
    109,160.99x = 150,634.10 × 61,405.14
  4. Step 4: Simplify right side
    109,160.99x = 9,249,708,152.79
  5. Step 5: Solve for x
    x = 9,249,708,152.79/109,160.99
  6. Step 6: Final answer
    x = 84,734.56

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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.