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Finding the Fourth Proportional to 253,860.80, 380,185.90 and 147,019.02

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Solution

The fourth proportional to 253,860.80, 380,185.90 and 147,019.02 is: 220,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,860.80 : 380,185.90 = 147,019.02 : x
  2. Step 2: Convert to fraction form
    253,860.80/380,185.90 = 147,019.02/x
  3. Step 3: Cross multiply
    253,860.80x = 380,185.90 × 147,019.02
  4. Step 4: Simplify right side
    253,860.80x = 55,894,558,435.82
  5. Step 5: Solve for x
    x = 55,894,558,435.82/253,860.80
  6. Step 6: Final answer
    x = 220,177.98

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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.