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Finding the Fourth Proportional to 190,031.20, 284,979.60 and 65,343.20

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Solution

The fourth proportional to 190,031.20, 284,979.60 and 65,343.20 is: 97,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,031.20 : 284,979.60 = 65,343.20 : x
  2. Step 2: Convert to fraction form
    190,031.20/284,979.60 = 65,343.20/x
  3. Step 3: Cross multiply
    190,031.20x = 284,979.60 × 65,343.20
  4. Step 4: Simplify right side
    190,031.20x = 18,621,478,998.72
  5. Step 5: Solve for x
    x = 18,621,478,998.72/190,031.20
  6. Step 6: Final answer
    x = 97,991.69

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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.