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Finding the Fourth Proportional to 109,165.92, 150,649.59 and 61,420.08

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Solution

The fourth proportional to 109,165.92, 150,649.59 and 61,420.08 is: 84,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,165.92 : 150,649.59 = 61,420.08 : x
  2. Step 2: Convert to fraction form
    109,165.92/150,649.59 = 61,420.08/x
  3. Step 3: Cross multiply
    109,165.92x = 150,649.59 × 61,420.08
  4. Step 4: Simplify right side
    109,165.92x = 9,252,909,869.77
  5. Step 5: Solve for x
    x = 9,252,909,869.77/109,165.92
  6. Step 6: Final answer
    x = 84,760.06

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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.