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Finding the Fourth Proportional to 105,524.70, 145,624.05 and 57,778.02

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Solution

The fourth proportional to 105,524.70, 145,624.05 and 57,778.02 is: 79,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524.70 : 145,624.05 = 57,778.02 : x
  2. Step 2: Convert to fraction form
    105,524.70/145,624.05 = 57,778.02/x
  3. Step 3: Cross multiply
    105,524.70x = 145,624.05 × 57,778.02
  4. Step 4: Simplify right side
    105,524.70x = 8,413,869,273.38
  5. Step 5: Solve for x
    x = 8,413,869,273.38/105,524.70
  6. Step 6: Final answer
    x = 79,733.65

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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.