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Finding the Fourth Proportional to 75,987.60, 113,987.88 and 19,835.16

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Solution

The fourth proportional to 75,987.60, 113,987.88 and 19,835.16 is: 29,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,987.60 : 113,987.88 = 19,835.16 : x
  2. Step 2: Convert to fraction form
    75,987.60/113,987.88 = 19,835.16/x
  3. Step 3: Cross multiply
    75,987.60x = 113,987.88 × 19,835.16
  4. Step 4: Simplify right side
    75,987.60x = 2,260,967,837.86
  5. Step 5: Solve for x
    x = 2,260,967,837.86/75,987.60
  6. Step 6: Final answer
    x = 29,754.43

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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.