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Finding the Fourth Proportional to 103,795.36, 155,124.32 and 75,774.42

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Solution

The fourth proportional to 103,795.36, 155,124.32 and 75,774.42 is: 113,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,795.36 : 155,124.32 = 75,774.42 : x
  2. Step 2: Convert to fraction form
    103,795.36/155,124.32 = 75,774.42/x
  3. Step 3: Cross multiply
    103,795.36x = 155,124.32 × 75,774.42
  4. Step 4: Simplify right side
    103,795.36x = 11,754,454,997.02
  5. Step 5: Solve for x
    x = 11,754,454,997.02/103,795.36
  6. Step 6: Final answer
    x = 113,246.44

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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.