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Finding the Fourth Proportional to 190,098.40, 285,061.20 and 84,863.20

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Solution

The fourth proportional to 190,098.40, 285,061.20 and 84,863.20 is: 127,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,098.40 : 285,061.20 = 84,863.20 : x
  2. Step 2: Convert to fraction form
    190,098.40/285,061.20 = 84,863.20/x
  3. Step 3: Cross multiply
    190,098.40x = 285,061.20 × 84,863.20
  4. Step 4: Simplify right side
    190,098.40x = 24,191,205,627.84
  5. Step 5: Solve for x
    x = 24,191,205,627.84/190,098.40
  6. Step 6: Final answer
    x = 127,256.23

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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.