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Finding the Fourth Proportional to 113,811.86, 170,674.04 and 78,644.90

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Solution

The fourth proportional to 113,811.86, 170,674.04 and 78,644.90 is: 117,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,811.86 : 170,674.04 = 78,644.90 : x
  2. Step 2: Convert to fraction form
    113,811.86/170,674.04 = 78,644.90/x
  3. Step 3: Cross multiply
    113,811.86x = 170,674.04 × 78,644.90
  4. Step 4: Simplify right side
    113,811.86x = 13,422,642,151.64
  5. Step 5: Solve for x
    x = 13,422,642,151.64/113,811.86
  6. Step 6: Final answer
    x = 117,937.12

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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.