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Finding the Fourth Proportional to 189,774.07, 284,698.69 and 99,859.67

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Solution

The fourth proportional to 189,774.07, 284,698.69 and 99,859.67 is: 149,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,774.07 : 284,698.69 = 99,859.67 : x
  2. Step 2: Convert to fraction form
    189,774.07/284,698.69 = 99,859.67/x
  3. Step 3: Cross multiply
    189,774.07x = 284,698.69 × 99,859.67
  4. Step 4: Simplify right side
    189,774.07x = 28,429,917,189.02
  5. Step 5: Solve for x
    x = 28,429,917,189.02/189,774.07
  6. Step 6: Final answer
    x = 149,809.28

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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.