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Finding the Fourth Proportional to 109,167.76, 150,649.26 and 61,420.60

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Solution

The fourth proportional to 109,167.76, 150,649.26 and 61,420.60 is: 84,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,167.76 : 150,649.26 = 61,420.60 : x
  2. Step 2: Convert to fraction form
    109,167.76/150,649.26 = 61,420.60/x
  3. Step 3: Cross multiply
    109,167.76x = 150,649.26 × 61,420.60
  4. Step 4: Simplify right side
    109,167.76x = 9,252,967,938.76
  5. Step 5: Solve for x
    x = 9,252,967,938.76/109,167.76
  6. Step 6: Final answer
    x = 84,759.16

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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.