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Finding the Fourth Proportional to 54,968.64, 82,406.79 and 38,279.40

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Solution

The fourth proportional to 54,968.64, 82,406.79 and 38,279.40 is: 57,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,968.64 : 82,406.79 = 38,279.40 : x
  2. Step 2: Convert to fraction form
    54,968.64/82,406.79 = 38,279.40/x
  3. Step 3: Cross multiply
    54,968.64x = 82,406.79 × 38,279.40
  4. Step 4: Simplify right side
    54,968.64x = 3,154,482,477.13
  5. Step 5: Solve for x
    x = 3,154,482,477.13/54,968.64
  6. Step 6: Final answer
    x = 57,386.95

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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.