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Finding the Fourth Proportional to 89,762.57, 123,866.71 and 49,474.11

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Solution

The fourth proportional to 89,762.57, 123,866.71 and 49,474.11 is: 68,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762.57 : 123,866.71 = 49,474.11 : x
  2. Step 2: Convert to fraction form
    89,762.57/123,866.71 = 49,474.11/x
  3. Step 3: Cross multiply
    89,762.57x = 123,866.71 × 49,474.11
  4. Step 4: Simplify right side
    89,762.57x = 6,128,195,112.19
  5. Step 5: Solve for x
    x = 6,128,195,112.19/89,762.57
  6. Step 6: Final answer
    x = 68,271.17

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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.