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Finding the Fourth Proportional to 75,170, 103,734.60 and 45,362

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Solution

The fourth proportional to 75,170, 103,734.60 and 45,362 is: 62,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,170 : 103,734.60 = 45,362 : x
  2. Step 2: Convert to fraction form
    75,170/103,734.60 = 45,362/x
  3. Step 3: Cross multiply
    75,170x = 103,734.60 × 45,362
  4. Step 4: Simplify right side
    75,170x = 4,705,608,925.20
  5. Step 5: Solve for x
    x = 4,705,608,925.20/75,170
  6. Step 6: Final answer
    x = 62,599.56

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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.