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Finding the Fourth Proportional to 190,035.20, 284,985.60 and 65,347.20

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Solution

The fourth proportional to 190,035.20, 284,985.60 and 65,347.20 is: 97,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,035.20 : 284,985.60 = 65,347.20 : x
  2. Step 2: Convert to fraction form
    190,035.20/284,985.60 = 65,347.20/x
  3. Step 3: Cross multiply
    190,035.20x = 284,985.60 × 65,347.20
  4. Step 4: Simplify right side
    190,035.20x = 18,623,011,000.32
  5. Step 5: Solve for x
    x = 18,623,011,000.32/190,035.20
  6. Step 6: Final answer
    x = 97,997.69

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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.