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Finding the Fourth Proportional to 76,768.58, 105,963.45 and 48,493.10

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Solution

The fourth proportional to 76,768.58, 105,963.45 and 48,493.10 is: 66,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768.58 : 105,963.45 = 48,493.10 : x
  2. Step 2: Convert to fraction form
    76,768.58/105,963.45 = 48,493.10/x
  3. Step 3: Cross multiply
    76,768.58x = 105,963.45 × 48,493.10
  4. Step 4: Simplify right side
    76,768.58x = 5,138,496,177.20
  5. Step 5: Solve for x
    x = 5,138,496,177.20/76,768.58
  6. Step 6: Final answer
    x = 66,934.89

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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.