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Finding the Fourth Proportional to 77,472, 106,911.36 and 42,144

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Solution

The fourth proportional to 77,472, 106,911.36 and 42,144 is: 58,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,472 : 106,911.36 = 42,144 : x
  2. Step 2: Convert to fraction form
    77,472/106,911.36 = 42,144/x
  3. Step 3: Cross multiply
    77,472x = 106,911.36 × 42,144
  4. Step 4: Simplify right side
    77,472x = 4,505,672,355.84
  5. Step 5: Solve for x
    x = 4,505,672,355.84/77,472
  6. Step 6: Final answer
    x = 58,158.72

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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.