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Finding the Fourth Proportional to 89,865, 124,013.70 and 50,121

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Solution

The fourth proportional to 89,865, 124,013.70 and 50,121 is: 69,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,865 : 124,013.70 = 50,121 : x
  2. Step 2: Convert to fraction form
    89,865/124,013.70 = 50,121/x
  3. Step 3: Cross multiply
    89,865x = 124,013.70 × 50,121
  4. Step 4: Simplify right side
    89,865x = 6,215,690,657.70
  5. Step 5: Solve for x
    x = 6,215,690,657.70/89,865
  6. Step 6: Final answer
    x = 69,166.98

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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.