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Finding the Fourth Proportional to 68,725.64, 103,088.46 and 31,784.84

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Solution

The fourth proportional to 68,725.64, 103,088.46 and 31,784.84 is: 47,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,725.64 : 103,088.46 = 31,784.84 : x
  2. Step 2: Convert to fraction form
    68,725.64/103,088.46 = 31,784.84/x
  3. Step 3: Cross multiply
    68,725.64x = 103,088.46 × 31,784.84
  4. Step 4: Simplify right side
    68,725.64x = 3,276,650,206.95
  5. Step 5: Solve for x
    x = 3,276,650,206.95/68,725.64
  6. Step 6: Final answer
    x = 47,677.26

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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.