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Finding the Fourth Proportional to 140,396, 193,746.12 and 76,734.23

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Solution

The fourth proportional to 140,396, 193,746.12 and 76,734.23 is: 105,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,396 : 193,746.12 = 76,734.23 : x
  2. Step 2: Convert to fraction form
    140,396/193,746.12 = 76,734.23/x
  3. Step 3: Cross multiply
    140,396x = 193,746.12 × 76,734.23
  4. Step 4: Simplify right side
    140,396x = 14,866,959,333.69
  5. Step 5: Solve for x
    x = 14,866,959,333.69/140,396
  6. Step 6: Final answer
    x = 105,893.04

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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.