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Finding the Fourth Proportional to 190,051.46, 285,071.31 and 90,283.46

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Solution

The fourth proportional to 190,051.46, 285,071.31 and 90,283.46 is: 135,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,051.46 : 285,071.31 = 90,283.46 : x
  2. Step 2: Convert to fraction form
    190,051.46/285,071.31 = 90,283.46/x
  3. Step 3: Cross multiply
    190,051.46x = 285,071.31 × 90,283.46
  4. Step 4: Simplify right side
    190,051.46x = 25,737,224,213.53
  5. Step 5: Solve for x
    x = 25,737,224,213.53/190,051.46
  6. Step 6: Final answer
    x = 135,422.40

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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.