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Finding the Fourth Proportional to 75,172.50, 103,738.28 and 41,638.50

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Solution

The fourth proportional to 75,172.50, 103,738.28 and 41,638.50 is: 57,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172.50 : 103,738.28 = 41,638.50 : x
  2. Step 2: Convert to fraction form
    75,172.50/103,738.28 = 41,638.50/x
  3. Step 3: Cross multiply
    75,172.50x = 103,738.28 × 41,638.50
  4. Step 4: Simplify right side
    75,172.50x = 4,319,506,163.59
  5. Step 5: Solve for x
    x = 4,319,506,163.59/75,172.50
  6. Step 6: Final answer
    x = 57,461.25

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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.