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Finding the Fourth Proportional to 178,431, 246,234.78 and 98,943

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Solution

The fourth proportional to 178,431, 246,234.78 and 98,943 is: 136,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,431 : 246,234.78 = 98,943 : x
  2. Step 2: Convert to fraction form
    178,431/246,234.78 = 98,943/x
  3. Step 3: Cross multiply
    178,431x = 246,234.78 × 98,943
  4. Step 4: Simplify right side
    178,431x = 24,363,207,837.54
  5. Step 5: Solve for x
    x = 24,363,207,837.54/178,431
  6. Step 6: Final answer
    x = 136,541.34

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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.