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Finding the Fourth Proportional to 123,568.56, 170,335.80 and 75,733.20

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Solution

The fourth proportional to 123,568.56, 170,335.80 and 75,733.20 is: 104,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,568.56 : 170,335.80 = 75,733.20 : x
  2. Step 2: Convert to fraction form
    123,568.56/170,335.80 = 75,733.20/x
  3. Step 3: Cross multiply
    123,568.56x = 170,335.80 × 75,733.20
  4. Step 4: Simplify right side
    123,568.56x = 12,900,075,208.56
  5. Step 5: Solve for x
    x = 12,900,075,208.56/123,568.56
  6. Step 6: Final answer
    x = 104,396.10

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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.