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Finding the Fourth Proportional to 57,643.53, 86,465.70 and 18,203.82

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Solution

The fourth proportional to 57,643.53, 86,465.70 and 18,203.82 is: 27,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643.53 : 86,465.70 = 18,203.82 : x
  2. Step 2: Convert to fraction form
    57,643.53/86,465.70 = 18,203.82/x
  3. Step 3: Cross multiply
    57,643.53x = 86,465.70 × 18,203.82
  4. Step 4: Simplify right side
    57,643.53x = 1,574,006,038.97
  5. Step 5: Solve for x
    x = 1,574,006,038.97/57,643.53
  6. Step 6: Final answer
    x = 27,305.86

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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.