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Finding the Fourth Proportional to 70,946.68, 106,420.02 and 18,361.48

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Solution

The fourth proportional to 70,946.68, 106,420.02 and 18,361.48 is: 27,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.68 : 106,420.02 = 18,361.48 : x
  2. Step 2: Convert to fraction form
    70,946.68/106,420.02 = 18,361.48/x
  3. Step 3: Cross multiply
    70,946.68x = 106,420.02 × 18,361.48
  4. Step 4: Simplify right side
    70,946.68x = 1,954,029,068.83
  5. Step 5: Solve for x
    x = 1,954,029,068.83/70,946.68
  6. Step 6: Final answer
    x = 27,542.22

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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.