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Finding the Fourth Proportional to 76,302, 105,306.48 and 42,768

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Solution

The fourth proportional to 76,302, 105,306.48 and 42,768 is: 59,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302 : 105,306.48 = 42,768 : x
  2. Step 2: Convert to fraction form
    76,302/105,306.48 = 42,768/x
  3. Step 3: Cross multiply
    76,302x = 105,306.48 × 42,768
  4. Step 4: Simplify right side
    76,302x = 4,503,747,536.64
  5. Step 5: Solve for x
    x = 4,503,747,536.64/76,302
  6. Step 6: Final answer
    x = 59,025.29

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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.