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Finding the Fourth Proportional to 115,885.88, 159,924.78 and 75,625.40

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Solution

The fourth proportional to 115,885.88, 159,924.78 and 75,625.40 is: 104,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,885.88 : 159,924.78 = 75,625.40 : x
  2. Step 2: Convert to fraction form
    115,885.88/159,924.78 = 75,625.40/x
  3. Step 3: Cross multiply
    115,885.88x = 159,924.78 × 75,625.40
  4. Step 4: Simplify right side
    115,885.88x = 12,094,375,457.41
  5. Step 5: Solve for x
    x = 12,094,375,457.41/115,885.88
  6. Step 6: Final answer
    x = 104,364.53

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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.