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Finding the Fourth Proportional to 140,915.82, 194,463.84 and 77,254.07

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Solution

The fourth proportional to 140,915.82, 194,463.84 and 77,254.07 is: 106,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,915.82 : 194,463.84 = 77,254.07 : x
  2. Step 2: Convert to fraction form
    140,915.82/194,463.84 = 77,254.07/x
  3. Step 3: Cross multiply
    140,915.82x = 194,463.84 × 77,254.07
  4. Step 4: Simplify right side
    140,915.82x = 15,023,122,135.51
  5. Step 5: Solve for x
    x = 15,023,122,135.51/140,915.82
  6. Step 6: Final answer
    x = 106,610.61

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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.