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Finding the Fourth Proportional to 156,894.84, 235,331.46 and 90,285.84

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Solution

The fourth proportional to 156,894.84, 235,331.46 and 90,285.84 is: 135,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,894.84 : 235,331.46 = 90,285.84 : x
  2. Step 2: Convert to fraction form
    156,894.84/235,331.46 = 90,285.84/x
  3. Step 3: Cross multiply
    156,894.84x = 235,331.46 × 90,285.84
  4. Step 4: Simplify right side
    156,894.84x = 21,247,098,544.53
  5. Step 5: Solve for x
    x = 21,247,098,544.53/156,894.84
  6. Step 6: Final answer
    x = 135,422.55

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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.