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Finding the Fourth Proportional to 190,371.40, 285,305.10 and 101,433.40

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Solution

The fourth proportional to 190,371.40, 285,305.10 and 101,433.40 is: 152,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,371.40 : 285,305.10 = 101,433.40 : x
  2. Step 2: Convert to fraction form
    190,371.40/285,305.10 = 101,433.40/x
  3. Step 3: Cross multiply
    190,371.40x = 285,305.10 × 101,433.40
  4. Step 4: Simplify right side
    190,371.40x = 28,939,466,330.34
  5. Step 5: Solve for x
    x = 28,939,466,330.34/190,371.40
  6. Step 6: Final answer
    x = 152,015.83

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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.