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Finding the Fourth Proportional to 189,735.34, 284,404.65 and 89,776.47

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Solution

The fourth proportional to 189,735.34, 284,404.65 and 89,776.47 is: 134,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.34 : 284,404.65 = 89,776.47 : x
  2. Step 2: Convert to fraction form
    189,735.34/284,404.65 = 89,776.47/x
  3. Step 3: Cross multiply
    189,735.34x = 284,404.65 × 89,776.47
  4. Step 4: Simplify right side
    189,735.34x = 25,532,845,528.59
  5. Step 5: Solve for x
    x = 25,532,845,528.59/189,735.34
  6. Step 6: Final answer
    x = 134,570.85

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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.