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Finding the Fourth Proportional to 140,342.63, 193,675.74 and 76,684.64

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Solution

The fourth proportional to 140,342.63, 193,675.74 and 76,684.64 is: 105,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,342.63 : 193,675.74 = 76,684.64 : x
  2. Step 2: Convert to fraction form
    140,342.63/193,675.74 = 76,684.64/x
  3. Step 3: Cross multiply
    140,342.63x = 193,675.74 × 76,684.64
  4. Step 4: Simplify right side
    140,342.63x = 14,851,954,398.63
  5. Step 5: Solve for x
    x = 14,851,954,398.63/140,342.63
  6. Step 6: Final answer
    x = 105,826.39

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1.5x scale

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.