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Finding the Fourth Proportional to 140,648.92, 194,095.72 and 76,990.74

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Solution

The fourth proportional to 140,648.92, 194,095.72 and 76,990.74 is: 106,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648.92 : 194,095.72 = 76,990.74 : x
  2. Step 2: Convert to fraction form
    140,648.92/194,095.72 = 76,990.74/x
  3. Step 3: Cross multiply
    140,648.92x = 194,095.72 × 76,990.74
  4. Step 4: Simplify right side
    140,648.92x = 14,943,573,113.63
  5. Step 5: Solve for x
    x = 14,943,573,113.63/140,648.92
  6. Step 6: Final answer
    x = 106,247.34

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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.