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Finding the Fourth Proportional to 189,760.86, 284,688 and 133,710.44

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Solution

The fourth proportional to 189,760.86, 284,688 and 133,710.44 is: 200,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,760.86 : 284,688 = 133,710.44 : x
  2. Step 2: Convert to fraction form
    189,760.86/284,688 = 133,710.44/x
  3. Step 3: Cross multiply
    189,760.86x = 284,688 × 133,710.44
  4. Step 4: Simplify right side
    189,760.86x = 38,065,756,319.28
  5. Step 5: Solve for x
    x = 38,065,756,319.28/189,760.86
  6. Step 6: Final answer
    x = 200,598.57

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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.