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Finding the Fourth Proportional to 101,230.84, 151,860.78 and 31,116.04

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Solution

The fourth proportional to 101,230.84, 151,860.78 and 31,116.04 is: 46,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,230.84 : 151,860.78 = 31,116.04 : x
  2. Step 2: Convert to fraction form
    101,230.84/151,860.78 = 31,116.04/x
  3. Step 3: Cross multiply
    101,230.84x = 151,860.78 × 31,116.04
  4. Step 4: Simplify right side
    101,230.84x = 4,725,306,104.91
  5. Step 5: Solve for x
    x = 4,725,306,104.91/101,230.84
  6. Step 6: Final answer
    x = 46,678.52

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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.