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Finding the Fourth Proportional to 103,796.16, 155,125.54 and 75,775.22

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Solution

The fourth proportional to 103,796.16, 155,125.54 and 75,775.22 is: 113,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,796.16 : 155,125.54 = 75,775.22 : x
  2. Step 2: Convert to fraction form
    103,796.16/155,125.54 = 75,775.22/x
  3. Step 3: Cross multiply
    103,796.16x = 155,125.54 × 75,775.22
  4. Step 4: Simplify right side
    103,796.16x = 11,754,672,364.78
  5. Step 5: Solve for x
    x = 11,754,672,364.78/103,796.16
  6. Step 6: Final answer
    x = 113,247.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.