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Finding the Fourth Proportional to 77,772, 107,325.36 and 42,444

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Solution

The fourth proportional to 77,772, 107,325.36 and 42,444 is: 58,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772 : 107,325.36 = 42,444 : x
  2. Step 2: Convert to fraction form
    77,772/107,325.36 = 42,444/x
  3. Step 3: Cross multiply
    77,772x = 107,325.36 × 42,444
  4. Step 4: Simplify right side
    77,772x = 4,555,317,579.84
  5. Step 5: Solve for x
    x = 4,555,317,579.84/77,772
  6. Step 6: Final answer
    x = 58,572.72

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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.