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Finding the Fourth Proportional to 214,117.70, 320,842.95 and 80,925.30

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Solution

The fourth proportional to 214,117.70, 320,842.95 and 80,925.30 is: 121,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,117.70 : 320,842.95 = 80,925.30 : x
  2. Step 2: Convert to fraction form
    214,117.70/320,842.95 = 80,925.30/x
  3. Step 3: Cross multiply
    214,117.70x = 320,842.95 × 80,925.30
  4. Step 4: Simplify right side
    214,117.70x = 25,964,311,981.64
  5. Step 5: Solve for x
    x = 25,964,311,981.64/214,117.70
  6. Step 6: Final answer
    x = 121,261.87

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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.