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Finding the Fourth Proportional to 101,418.48, 152,144.10 and 42,260.10

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Solution

The fourth proportional to 101,418.48, 152,144.10 and 42,260.10 is: 63,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,418.48 : 152,144.10 = 42,260.10 : x
  2. Step 2: Convert to fraction form
    101,418.48/152,144.10 = 42,260.10/x
  3. Step 3: Cross multiply
    101,418.48x = 152,144.10 × 42,260.10
  4. Step 4: Simplify right side
    101,418.48x = 6,429,624,880.41
  5. Step 5: Solve for x
    x = 6,429,624,880.41/101,418.48
  6. Step 6: Final answer
    x = 63,396.98

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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.