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Finding the Fourth Proportional to 189,924.70, 284,781.88 and 77,683.73

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Solution

The fourth proportional to 189,924.70, 284,781.88 and 77,683.73 is: 116,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,924.70 : 284,781.88 = 77,683.73 : x
  2. Step 2: Convert to fraction form
    189,924.70/284,781.88 = 77,683.73/x
  3. Step 3: Cross multiply
    189,924.70x = 284,781.88 × 77,683.73
  4. Step 4: Simplify right side
    189,924.70x = 22,122,919,313.88
  5. Step 5: Solve for x
    x = 22,122,919,313.88/189,924.70
  6. Step 6: Final answer
    x = 116,482.58

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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.