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Finding the Fourth Proportional to 224,574, 309,912.12 and 123,972.72

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Solution

The fourth proportional to 224,574, 309,912.12 and 123,972.72 is: 171,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,574 : 309,912.12 = 123,972.72 : x
  2. Step 2: Convert to fraction form
    224,574/309,912.12 = 123,972.72/x
  3. Step 3: Cross multiply
    224,574x = 309,912.12 × 123,972.72
  4. Step 4: Simplify right side
    224,574x = 38,420,648,477.37
  5. Step 5: Solve for x
    x = 38,420,648,477.37/224,574
  6. Step 6: Final answer
    x = 171,082.35

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1.5x scale

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.