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Finding the Fourth Proportional to 189,663.96, 284,457.32 and 69,679.67

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Solution

The fourth proportional to 189,663.96, 284,457.32 and 69,679.67 is: 104,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,663.96 : 284,457.32 = 69,679.67 : x
  2. Step 2: Convert to fraction form
    189,663.96/284,457.32 = 69,679.67/x
  3. Step 3: Cross multiply
    189,663.96x = 284,457.32 × 69,679.67
  4. Step 4: Simplify right side
    189,663.96x = 19,820,892,186.68
  5. Step 5: Solve for x
    x = 19,820,892,186.68/189,663.96
  6. Step 6: Final answer
    x = 104,505.32

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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.