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Finding the Fourth Proportional to 77,574, 107,052.12 and 42,246

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Solution

The fourth proportional to 77,574, 107,052.12 and 42,246 is: 58,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574 : 107,052.12 = 42,246 : x
  2. Step 2: Convert to fraction form
    77,574/107,052.12 = 42,246/x
  3. Step 3: Cross multiply
    77,574x = 107,052.12 × 42,246
  4. Step 4: Simplify right side
    77,574x = 4,522,523,861.52
  5. Step 5: Solve for x
    x = 4,522,523,861.52/77,574
  6. Step 6: Final answer
    x = 58,299.48

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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.