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Finding the Fourth Proportional to 76,428.74, 105,472.06 and 44,160.78

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Solution

The fourth proportional to 76,428.74, 105,472.06 and 44,160.78 is: 60,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428.74 : 105,472.06 = 44,160.78 : x
  2. Step 2: Convert to fraction form
    76,428.74/105,472.06 = 44,160.78/x
  3. Step 3: Cross multiply
    76,428.74x = 105,472.06 × 44,160.78
  4. Step 4: Simplify right side
    76,428.74x = 4,657,728,437.81
  5. Step 5: Solve for x
    x = 4,657,728,437.81/76,428.74
  6. Step 6: Final answer
    x = 60,942.11

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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.