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Finding the Fourth Proportional to 75,868.40, 113,543.40 and 66,537.20

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Solution

The fourth proportional to 75,868.40, 113,543.40 and 66,537.20 is: 99,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,868.40 : 113,543.40 = 66,537.20 : x
  2. Step 2: Convert to fraction form
    75,868.40/113,543.40 = 66,537.20/x
  3. Step 3: Cross multiply
    75,868.40x = 113,543.40 × 66,537.20
  4. Step 4: Simplify right side
    75,868.40x = 7,554,859,914.48
  5. Step 5: Solve for x
    x = 7,554,859,914.48/75,868.40
  6. Step 6: Final answer
    x = 99,578.48

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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.