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Finding the Fourth Proportional to 100,578.48, 150,646.16 and 67,141.92

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Solution

The fourth proportional to 100,578.48, 150,646.16 and 67,141.92 is: 100,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.48 : 150,646.16 = 67,141.92 : x
  2. Step 2: Convert to fraction form
    100,578.48/150,646.16 = 67,141.92/x
  3. Step 3: Cross multiply
    100,578.48x = 150,646.16 × 67,141.92
  4. Step 4: Simplify right side
    100,578.48x = 10,114,672,423.03
  5. Step 5: Solve for x
    x = 10,114,672,423.03/100,578.48
  6. Step 6: Final answer
    x = 100,564.98

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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.