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Finding the Fourth Proportional to 54,287, 74,920.40 and 31,935.32

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Solution

The fourth proportional to 54,287, 74,920.40 and 31,935.32 is: 44,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,287 : 74,920.40 = 31,935.32 : x
  2. Step 2: Convert to fraction form
    54,287/74,920.40 = 31,935.32/x
  3. Step 3: Cross multiply
    54,287x = 74,920.40 × 31,935.32
  4. Step 4: Simplify right side
    54,287x = 2,392,606,948.53
  5. Step 5: Solve for x
    x = 2,392,606,948.53/54,287
  6. Step 6: Final answer
    x = 44,073.29

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1.5x scale

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.