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Finding the Fourth Proportional to 190,812.80, 286,361.40 and 72,714.80

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Solution

The fourth proportional to 190,812.80, 286,361.40 and 72,714.80 is: 109,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,812.80 : 286,361.40 = 72,714.80 : x
  2. Step 2: Convert to fraction form
    190,812.80/286,361.40 = 72,714.80/x
  3. Step 3: Cross multiply
    190,812.80x = 286,361.40 × 72,714.80
  4. Step 4: Simplify right side
    190,812.80x = 20,822,711,928.72
  5. Step 5: Solve for x
    x = 20,822,711,928.72/190,812.80
  6. Step 6: Final answer
    x = 109,126.39

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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.