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Finding the Fourth Proportional to 156,389.84, 215,846.88 and 89,321.84

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Solution

The fourth proportional to 156,389.84, 215,846.88 and 89,321.84 is: 123,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,389.84 : 215,846.88 = 89,321.84 : x
  2. Step 2: Convert to fraction form
    156,389.84/215,846.88 = 89,321.84/x
  3. Step 3: Cross multiply
    156,389.84x = 215,846.88 × 89,321.84
  4. Step 4: Simplify right side
    156,389.84x = 19,279,840,479.86
  5. Step 5: Solve for x
    x = 19,279,840,479.86/156,389.84
  6. Step 6: Final answer
    x = 123,280.65

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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.