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Finding the Fourth Proportional to 76,230.78, 105,184.32 and 42,696.78

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Solution

The fourth proportional to 76,230.78, 105,184.32 and 42,696.78 is: 58,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,230.78 : 105,184.32 = 42,696.78 : x
  2. Step 2: Convert to fraction form
    76,230.78/105,184.32 = 42,696.78/x
  3. Step 3: Cross multiply
    76,230.78x = 105,184.32 × 42,696.78
  4. Step 4: Simplify right side
    76,230.78x = 4,491,031,770.49
  5. Step 5: Solve for x
    x = 4,491,031,770.49/76,230.78
  6. Step 6: Final answer
    x = 58,913.63

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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.