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Finding the Fourth Proportional to 140,648.94, 194,095.74 and 76,990.74

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Solution

The fourth proportional to 140,648.94, 194,095.74 and 76,990.74 is: 106,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648.94 : 194,095.74 = 76,990.74 : x
  2. Step 2: Convert to fraction form
    140,648.94/194,095.74 = 76,990.74/x
  3. Step 3: Cross multiply
    140,648.94x = 194,095.74 × 76,990.74
  4. Step 4: Simplify right side
    140,648.94x = 14,943,574,653.45
  5. Step 5: Solve for x
    x = 14,943,574,653.45/140,648.94
  6. Step 6: Final answer
    x = 106,247.33

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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.