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Finding the Fourth Proportional to 190,990.80, 286,543.80 and 102,286.80

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Solution

The fourth proportional to 190,990.80, 286,543.80 and 102,286.80 is: 153,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,990.80 : 286,543.80 = 102,286.80 : x
  2. Step 2: Convert to fraction form
    190,990.80/286,543.80 = 102,286.80/x
  3. Step 3: Cross multiply
    190,990.80x = 286,543.80 × 102,286.80
  4. Step 4: Simplify right side
    190,990.80x = 29,309,648,361.84
  5. Step 5: Solve for x
    x = 29,309,648,361.84/190,990.80
  6. Step 6: Final answer
    x = 153,461.05

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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.