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Finding the Fourth Proportional to 75,687.73, 113,328.56 and 42,312.74

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Solution

The fourth proportional to 75,687.73, 113,328.56 and 42,312.74 is: 63,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,687.73 : 113,328.56 = 42,312.74 : x
  2. Step 2: Convert to fraction form
    75,687.73/113,328.56 = 42,312.74/x
  3. Step 3: Cross multiply
    75,687.73x = 113,328.56 × 42,312.74
  4. Step 4: Simplify right side
    75,687.73x = 4,795,241,788.07
  5. Step 5: Solve for x
    x = 4,795,241,788.07/75,687.73
  6. Step 6: Final answer
    x = 63,355.61

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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.