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Finding the Fourth Proportional to 129,744, 194,616 and 31,248

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Solution

The fourth proportional to 129,744, 194,616 and 31,248 is: 46,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744 : 194,616 = 31,248 : x
  2. Step 2: Convert to fraction form
    129,744/194,616 = 31,248/x
  3. Step 3: Cross multiply
    129,744x = 194,616 × 31,248
  4. Step 4: Simplify right side
    129,744x = 6,081,360,768
  5. Step 5: Solve for x
    x = 6,081,360,768/129,744
  6. Step 6: Final answer
    x = 46,872

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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.