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Finding the Fourth Proportional to 189,608.34, 284,495.55 and 89,839.74

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Solution

The fourth proportional to 189,608.34, 284,495.55 and 89,839.74 is: 134,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,608.34 : 284,495.55 = 89,839.74 : x
  2. Step 2: Convert to fraction form
    189,608.34/284,495.55 = 89,839.74/x
  3. Step 3: Cross multiply
    189,608.34x = 284,495.55 × 89,839.74
  4. Step 4: Simplify right side
    189,608.34x = 25,559,006,243.16
  5. Step 5: Solve for x
    x = 25,559,006,243.16/189,608.34
  6. Step 6: Final answer
    x = 134,798.96

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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.