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Finding the Fourth Proportional to 57,840.40, 86,890.20 and 55,478.80

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Solution

The fourth proportional to 57,840.40, 86,890.20 and 55,478.80 is: 83,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,840.40 : 86,890.20 = 55,478.80 : x
  2. Step 2: Convert to fraction form
    57,840.40/86,890.20 = 55,478.80/x
  3. Step 3: Cross multiply
    57,840.40x = 86,890.20 × 55,478.80
  4. Step 4: Simplify right side
    57,840.40x = 4,820,564,027.76
  5. Step 5: Solve for x
    x = 4,820,564,027.76/57,840.40
  6. Step 6: Final answer
    x = 83,342.51

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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.