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Finding the Fourth Proportional to 96,415.80, 144,969.30 and 81,209.40

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Solution

The fourth proportional to 96,415.80, 144,969.30 and 81,209.40 is: 122,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415.80 : 144,969.30 = 81,209.40 : x
  2. Step 2: Convert to fraction form
    96,415.80/144,969.30 = 81,209.40/x
  3. Step 3: Cross multiply
    96,415.80x = 144,969.30 × 81,209.40
  4. Step 4: Simplify right side
    96,415.80x = 11,772,869,871.42
  5. Step 5: Solve for x
    x = 11,772,869,871.42/96,415.80
  6. Step 6: Final answer
    x = 122,105.19

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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.