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Finding the Fourth Proportional to 119,224.84, 178,836.56 and 30,478.20

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Solution

The fourth proportional to 119,224.84, 178,836.56 and 30,478.20 is: 45,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,224.84 : 178,836.56 = 30,478.20 : x
  2. Step 2: Convert to fraction form
    119,224.84/178,836.56 = 30,478.20/x
  3. Step 3: Cross multiply
    119,224.84x = 178,836.56 × 30,478.20
  4. Step 4: Simplify right side
    119,224.84x = 5,450,616,442.99
  5. Step 5: Solve for x
    x = 5,450,616,442.99/119,224.84
  6. Step 6: Final answer
    x = 45,717.12

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1.5x scale

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.