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Finding the Fourth Proportional to 109,303.84, 150,839.80 and 61,558

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Solution

The fourth proportional to 109,303.84, 150,839.80 and 61,558 is: 84,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,303.84 : 150,839.80 = 61,558 : x
  2. Step 2: Convert to fraction form
    109,303.84/150,839.80 = 61,558/x
  3. Step 3: Cross multiply
    109,303.84x = 150,839.80 × 61,558
  4. Step 4: Simplify right side
    109,303.84x = 9,285,396,408.40
  5. Step 5: Solve for x
    x = 9,285,396,408.40/109,303.84
  6. Step 6: Final answer
    x = 84,950.32

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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.