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Finding the Fourth Proportional to 146,728.30, 219,837.30 and 67,680.40

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Solution

The fourth proportional to 146,728.30, 219,837.30 and 67,680.40 is: 101,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,728.30 : 219,837.30 = 67,680.40 : x
  2. Step 2: Convert to fraction form
    146,728.30/219,837.30 = 67,680.40/x
  3. Step 3: Cross multiply
    146,728.30x = 219,837.30 × 67,680.40
  4. Step 4: Simplify right side
    146,728.30x = 14,878,676,398.92
  5. Step 5: Solve for x
    x = 14,878,676,398.92/146,728.30
  6. Step 6: Final answer
    x = 101,402.91

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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.