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Finding the Fourth Proportional to 76,302.75, 105,297.80 and 42,768.75

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Solution

The fourth proportional to 76,302.75, 105,297.80 and 42,768.75 is: 59,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.75 : 105,297.80 = 42,768.75 : x
  2. Step 2: Convert to fraction form
    76,302.75/105,297.80 = 42,768.75/x
  3. Step 3: Cross multiply
    76,302.75x = 105,297.80 × 42,768.75
  4. Step 4: Simplify right side
    76,302.75x = 4,503,455,069.91
  5. Step 5: Solve for x
    x = 4,503,455,069.91/76,302.75
  6. Step 6: Final answer
    x = 59,020.88

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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.