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Finding the Fourth Proportional to 134,578.40, 201,770.40 and 75,432.20

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Solution

The fourth proportional to 134,578.40, 201,770.40 and 75,432.20 is: 113,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,578.40 : 201,770.40 = 75,432.20 : x
  2. Step 2: Convert to fraction form
    134,578.40/201,770.40 = 75,432.20/x
  3. Step 3: Cross multiply
    134,578.40x = 201,770.40 × 75,432.20
  4. Step 4: Simplify right side
    134,578.40x = 15,219,985,166.88
  5. Step 5: Solve for x
    x = 15,219,985,166.88/134,578.40
  6. Step 6: Final answer
    x = 113,093.82

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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.