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Finding the Fourth Proportional to 51,238.60, 76,712.10 and 49,780.60

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Solution

The fourth proportional to 51,238.60, 76,712.10 and 49,780.60 is: 74,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238.60 : 76,712.10 = 49,780.60 : x
  2. Step 2: Convert to fraction form
    51,238.60/76,712.10 = 49,780.60/x
  3. Step 3: Cross multiply
    51,238.60x = 76,712.10 × 49,780.60
  4. Step 4: Simplify right side
    51,238.60x = 3,818,774,365.26
  5. Step 5: Solve for x
    x = 3,818,774,365.26/51,238.60
  6. Step 6: Final answer
    x = 74,529.25

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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.