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Finding the Fourth Proportional to 61,378, 84,701.73 and 36,227.50

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Solution

The fourth proportional to 61,378, 84,701.73 and 36,227.50 is: 49,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378 : 84,701.73 = 36,227.50 : x
  2. Step 2: Convert to fraction form
    61,378/84,701.73 = 36,227.50/x
  3. Step 3: Cross multiply
    61,378x = 84,701.73 × 36,227.50
  4. Step 4: Simplify right side
    61,378x = 3,068,531,923.58
  5. Step 5: Solve for x
    x = 3,068,531,923.58/61,378
  6. Step 6: Final answer
    x = 49,994.00

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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.