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Finding the Fourth Proportional to 54,334.31, 74,981.63 and 31,689.01

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Solution

The fourth proportional to 54,334.31, 74,981.63 and 31,689.01 is: 43,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334.31 : 74,981.63 = 31,689.01 : x
  2. Step 2: Convert to fraction form
    54,334.31/74,981.63 = 31,689.01/x
  3. Step 3: Cross multiply
    54,334.31x = 74,981.63 × 31,689.01
  4. Step 4: Simplify right side
    54,334.31x = 2,376,093,276.99
  5. Step 5: Solve for x
    x = 2,376,093,276.99/54,334.31
  6. Step 6: Final answer
    x = 43,730.99

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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.