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Finding the Fourth Proportional to 113,813.26, 156,965.90 and 68,482.78

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Solution

The fourth proportional to 113,813.26, 156,965.90 and 68,482.78 is: 94,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,813.26 : 156,965.90 = 68,482.78 : x
  2. Step 2: Convert to fraction form
    113,813.26/156,965.90 = 68,482.78/x
  3. Step 3: Cross multiply
    113,813.26x = 156,965.90 × 68,482.78
  4. Step 4: Simplify right side
    113,813.26x = 10,749,461,197.20
  5. Step 5: Solve for x
    x = 10,749,461,197.20/113,813.26
  6. Step 6: Final answer
    x = 94,448.23

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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.