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Finding the Fourth Proportional to 54,680, 75,436.80 and 34,529.36

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Solution

The fourth proportional to 54,680, 75,436.80 and 34,529.36 is: 47,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,680 : 75,436.80 = 34,529.36 : x
  2. Step 2: Convert to fraction form
    54,680/75,436.80 = 34,529.36/x
  3. Step 3: Cross multiply
    54,680x = 75,436.80 × 34,529.36
  4. Step 4: Simplify right side
    54,680x = 2,604,784,424.45
  5. Step 5: Solve for x
    x = 2,604,784,424.45/54,680
  6. Step 6: Final answer
    x = 47,636.88

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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.