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Finding the Fourth Proportional to 120,801.64, 180,388.89 and 98,658.94

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Solution

The fourth proportional to 120,801.64, 180,388.89 and 98,658.94 is: 147,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,801.64 : 180,388.89 = 98,658.94 : x
  2. Step 2: Convert to fraction form
    120,801.64/180,388.89 = 98,658.94/x
  3. Step 3: Cross multiply
    120,801.64x = 180,388.89 × 98,658.94
  4. Step 4: Simplify right side
    120,801.64x = 17,796,976,675.18
  5. Step 5: Solve for x
    x = 17,796,976,675.18/120,801.64
  6. Step 6: Final answer
    x = 147,323.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.