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Finding the Fourth Proportional to 99,408.47, 148,870.31 and 75,690.45

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Solution

The fourth proportional to 99,408.47, 148,870.31 and 75,690.45 is: 113,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,408.47 : 148,870.31 = 75,690.45 : x
  2. Step 2: Convert to fraction form
    99,408.47/148,870.31 = 75,690.45/x
  3. Step 3: Cross multiply
    99,408.47x = 148,870.31 × 75,690.45
  4. Step 4: Simplify right side
    99,408.47x = 11,268,060,377.09
  5. Step 5: Solve for x
    x = 11,268,060,377.09/99,408.47
  6. Step 6: Final answer
    x = 113,351.12

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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.