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Finding the Fourth Proportional to 189,486.48, 284,172.72 and 156,123.84

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Solution

The fourth proportional to 189,486.48, 284,172.72 and 156,123.84 is: 234,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,486.48 : 284,172.72 = 156,123.84 : x
  2. Step 2: Convert to fraction form
    189,486.48/284,172.72 = 156,123.84/x
  3. Step 3: Cross multiply
    189,486.48x = 284,172.72 × 156,123.84
  4. Step 4: Simplify right side
    189,486.48x = 44,366,136,269.64
  5. Step 5: Solve for x
    x = 44,366,136,269.64/189,486.48
  6. Step 6: Final answer
    x = 234,138.80

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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.