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Finding the Fourth Proportional to 189,715.55, 284,622.51 and 100,896

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Solution

The fourth proportional to 189,715.55, 284,622.51 and 100,896 is: 151,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,715.55 : 284,622.51 = 100,896 : x
  2. Step 2: Convert to fraction form
    189,715.55/284,622.51 = 100,896/x
  3. Step 3: Cross multiply
    189,715.55x = 284,622.51 × 100,896
  4. Step 4: Simplify right side
    189,715.55x = 28,717,272,768.96
  5. Step 5: Solve for x
    x = 28,717,272,768.96/189,715.55
  6. Step 6: Final answer
    x = 151,370.16

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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.