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Finding the Fourth Proportional to 140,653.60, 194,101.58 and 76,122.95

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Solution

The fourth proportional to 140,653.60, 194,101.58 and 76,122.95 is: 105,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,653.60 : 194,101.58 = 76,122.95 : x
  2. Step 2: Convert to fraction form
    140,653.60/194,101.58 = 76,122.95/x
  3. Step 3: Cross multiply
    140,653.60x = 194,101.58 × 76,122.95
  4. Step 4: Simplify right side
    140,653.60x = 14,775,584,089.06
  5. Step 5: Solve for x
    x = 14,775,584,089.06/140,653.60
  6. Step 6: Final answer
    x = 105,049.46

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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.