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Finding the Fourth Proportional to 97,409.84, 134,424.27 and 54,390

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Solution

The fourth proportional to 97,409.84, 134,424.27 and 54,390 is: 75,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409.84 : 134,424.27 = 54,390 : x
  2. Step 2: Convert to fraction form
    97,409.84/134,424.27 = 54,390/x
  3. Step 3: Cross multiply
    97,409.84x = 134,424.27 × 54,390
  4. Step 4: Simplify right side
    97,409.84x = 7,311,336,045.30
  5. Step 5: Solve for x
    x = 7,311,336,045.30/97,409.84
  6. Step 6: Final answer
    x = 75,057.47

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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.