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Finding the Fourth Proportional to 51,901.60, 77,871.60 and 16,842.40

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Solution

The fourth proportional to 51,901.60, 77,871.60 and 16,842.40 is: 25,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901.60 : 77,871.60 = 16,842.40 : x
  2. Step 2: Convert to fraction form
    51,901.60/77,871.60 = 16,842.40/x
  3. Step 3: Cross multiply
    51,901.60x = 77,871.60 × 16,842.40
  4. Step 4: Simplify right side
    51,901.60x = 1,311,544,635.84
  5. Step 5: Solve for x
    x = 1,311,544,635.84/51,901.60
  6. Step 6: Final answer
    x = 25,269.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.