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Finding the Fourth Proportional to 105,652.61, 145,793.99 and 57,902.57

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Solution

The fourth proportional to 105,652.61, 145,793.99 and 57,902.57 is: 79,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.61 : 145,793.99 = 57,902.57 : x
  2. Step 2: Convert to fraction form
    105,652.61/145,793.99 = 57,902.57/x
  3. Step 3: Cross multiply
    105,652.61x = 145,793.99 × 57,902.57
  4. Step 4: Simplify right side
    105,652.61x = 8,441,846,711.55
  5. Step 5: Solve for x
    x = 8,441,846,711.55/105,652.61
  6. Step 6: Final answer
    x = 79,901.92

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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.