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Finding the Fourth Proportional to 149,361.80, 206,101.13 and 84,807.50

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Solution

The fourth proportional to 149,361.80, 206,101.13 and 84,807.50 is: 117,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,361.80 : 206,101.13 = 84,807.50 : x
  2. Step 2: Convert to fraction form
    149,361.80/206,101.13 = 84,807.50/x
  3. Step 3: Cross multiply
    149,361.80x = 206,101.13 × 84,807.50
  4. Step 4: Simplify right side
    149,361.80x = 17,478,920,127.93
  5. Step 5: Solve for x
    x = 17,478,920,127.93/149,361.80
  6. Step 6: Final answer
    x = 117,024.04

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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.