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Finding the Fourth Proportional to 77,920, 107,529.60 and 42,592

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Solution

The fourth proportional to 77,920, 107,529.60 and 42,592 is: 58,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920 : 107,529.60 = 42,592 : x
  2. Step 2: Convert to fraction form
    77,920/107,529.60 = 42,592/x
  3. Step 3: Cross multiply
    77,920x = 107,529.60 × 42,592
  4. Step 4: Simplify right side
    77,920x = 4,579,900,723.20
  5. Step 5: Solve for x
    x = 4,579,900,723.20/77,920
  6. Step 6: Final answer
    x = 58,776.96

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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.