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Finding the Fourth Proportional to 342,143.13, 472,138.45 and 189,172.14

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Solution

The fourth proportional to 342,143.13, 472,138.45 and 189,172.14 is: 261,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,143.13 : 472,138.45 = 189,172.14 : x
  2. Step 2: Convert to fraction form
    342,143.13/472,138.45 = 189,172.14/x
  3. Step 3: Cross multiply
    342,143.13x = 472,138.45 × 189,172.14
  4. Step 4: Simplify right side
    342,143.13x = 89,315,440,962.78
  5. Step 5: Solve for x
    x = 89,315,440,962.78/342,143.13
  6. Step 6: Final answer
    x = 261,047.01

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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.