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Finding the Fourth Proportional to 109,361.64, 164,042.50 and 84,438.12

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Solution

The fourth proportional to 109,361.64, 164,042.50 and 84,438.12 is: 126,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,361.64 : 164,042.50 = 84,438.12 : x
  2. Step 2: Convert to fraction form
    109,361.64/164,042.50 = 84,438.12/x
  3. Step 3: Cross multiply
    109,361.64x = 164,042.50 × 84,438.12
  4. Step 4: Simplify right side
    109,361.64x = 13,851,440,300.10
  5. Step 5: Solve for x
    x = 13,851,440,300.10/109,361.64
  6. Step 6: Final answer
    x = 126,657.21

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1.5x scale

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.