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Finding the Fourth Proportional to 119,490, 178,961.16 and 69,446.16

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Solution

The fourth proportional to 119,490, 178,961.16 and 69,446.16 is: 104,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,490 : 178,961.16 = 69,446.16 : x
  2. Step 2: Convert to fraction form
    119,490/178,961.16 = 69,446.16/x
  3. Step 3: Cross multiply
    119,490x = 178,961.16 × 69,446.16
  4. Step 4: Simplify right side
    119,490x = 12,428,165,351.15
  5. Step 5: Solve for x
    x = 12,428,165,351.15/119,490
  6. Step 6: Final answer
    x = 104,010.09

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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.