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Finding the Fourth Proportional to 54,345.49, 74,964.93 and 34,170.40

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Solution

The fourth proportional to 54,345.49, 74,964.93 and 34,170.40 is: 47,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345.49 : 74,964.93 = 34,170.40 : x
  2. Step 2: Convert to fraction form
    54,345.49/74,964.93 = 34,170.40/x
  3. Step 3: Cross multiply
    54,345.49x = 74,964.93 × 34,170.40
  4. Step 4: Simplify right side
    54,345.49x = 2,561,581,644.07
  5. Step 5: Solve for x
    x = 2,561,581,644.07/54,345.49
  6. Step 6: Final answer
    x = 47,135.13

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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.