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Finding the Fourth Proportional to 98,409.84, 147,679.91 and 54,067.50

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Solution

The fourth proportional to 98,409.84, 147,679.91 and 54,067.50 is: 81,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,409.84 : 147,679.91 = 54,067.50 : x
  2. Step 2: Convert to fraction form
    98,409.84/147,679.91 = 54,067.50/x
  3. Step 3: Cross multiply
    98,409.84x = 147,679.91 × 54,067.50
  4. Step 4: Simplify right side
    98,409.84x = 7,984,683,466.34
  5. Step 5: Solve for x
    x = 7,984,683,466.34/98,409.84
  6. Step 6: Final answer
    x = 81,137.05

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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.