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Finding the Fourth Proportional to 75,649.77, 113,321.57 and 38,157.57

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Solution

The fourth proportional to 75,649.77, 113,321.57 and 38,157.57 is: 57,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.77 : 113,321.57 = 38,157.57 : x
  2. Step 2: Convert to fraction form
    75,649.77/113,321.57 = 38,157.57/x
  3. Step 3: Cross multiply
    75,649.77x = 113,321.57 × 38,157.57
  4. Step 4: Simplify right side
    75,649.77x = 4,324,075,549.00
  5. Step 5: Solve for x
    x = 4,324,075,549.00/75,649.77
  6. Step 6: Final answer
    x = 57,159.14

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1.5x scale

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.