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Finding the Fourth Proportional to 89,938, 134,913.54 and 34,534

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Solution

The fourth proportional to 89,938, 134,913.54 and 34,534 is: 51,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,938 : 134,913.54 = 34,534 : x
  2. Step 2: Convert to fraction form
    89,938/134,913.54 = 34,534/x
  3. Step 3: Cross multiply
    89,938x = 134,913.54 × 34,534
  4. Step 4: Simplify right side
    89,938x = 4,659,104,190.36
  5. Step 5: Solve for x
    x = 4,659,104,190.36/89,938
  6. Step 6: Final answer
    x = 51,803.51

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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.