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Finding the Fourth Proportional to 123,664.92, 185,475.88 and 57,099.40

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Solution

The fourth proportional to 123,664.92, 185,475.88 and 57,099.40 is: 85,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,664.92 : 185,475.88 = 57,099.40 : x
  2. Step 2: Convert to fraction form
    123,664.92/185,475.88 = 57,099.40/x
  3. Step 3: Cross multiply
    123,664.92x = 185,475.88 × 57,099.40
  4. Step 4: Simplify right side
    123,664.92x = 10,590,561,462.47
  5. Step 5: Solve for x
    x = 10,590,561,462.47/123,664.92
  6. Step 6: Final answer
    x = 85,639.17

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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.