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Finding the Fourth Proportional to 156,294, 215,685.81 and 84,674.52

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Solution

The fourth proportional to 156,294, 215,685.81 and 84,674.52 is: 116,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,294 : 215,685.81 = 84,674.52 : x
  2. Step 2: Convert to fraction form
    156,294/215,685.81 = 84,674.52/x
  3. Step 3: Cross multiply
    156,294x = 215,685.81 × 84,674.52
  4. Step 4: Simplify right side
    156,294x = 18,263,092,432.56
  5. Step 5: Solve for x
    x = 18,263,092,432.56/156,294
  6. Step 6: Final answer
    x = 116,850.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.