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Finding the Fourth Proportional to 190,488.62, 285,864.16 and 85,425.14

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Solution

The fourth proportional to 190,488.62, 285,864.16 and 85,425.14 is: 128,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,488.62 : 285,864.16 = 85,425.14 : x
  2. Step 2: Convert to fraction form
    190,488.62/285,864.16 = 85,425.14/x
  3. Step 3: Cross multiply
    190,488.62x = 285,864.16 × 85,425.14
  4. Step 4: Simplify right side
    190,488.62x = 24,419,985,888.98
  5. Step 5: Solve for x
    x = 24,419,985,888.98/190,488.62
  6. Step 6: Final answer
    x = 128,196.56

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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.