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Finding the Fourth Proportional to 190,053.20, 284,971.80 and 71,728.40

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Solution

The fourth proportional to 190,053.20, 284,971.80 and 71,728.40 is: 107,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,053.20 : 284,971.80 = 71,728.40 : x
  2. Step 2: Convert to fraction form
    190,053.20/284,971.80 = 71,728.40/x
  3. Step 3: Cross multiply
    190,053.20x = 284,971.80 × 71,728.40
  4. Step 4: Simplify right side
    190,053.20x = 20,440,571,259.12
  5. Step 5: Solve for x
    x = 20,440,571,259.12/190,053.20
  6. Step 6: Final answer
    x = 107,551.84

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1.5x scale

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.