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Finding the Fourth Proportional to 189,909.69, 284,902.88 and 84,728.67

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Solution

The fourth proportional to 189,909.69, 284,902.88 and 84,728.67 is: 127,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,909.69 : 284,902.88 = 84,728.67 : x
  2. Step 2: Convert to fraction form
    189,909.69/284,902.88 = 84,728.67/x
  3. Step 3: Cross multiply
    189,909.69x = 284,902.88 × 84,728.67
  4. Step 4: Simplify right side
    189,909.69x = 24,139,441,677.93
  5. Step 5: Solve for x
    x = 24,139,441,677.93/189,909.69
  6. Step 6: Final answer
    x = 127,110.11

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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.