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Finding the Fourth Proportional to 189,225.99, 284,035.82 and 139,362.39

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Solution

The fourth proportional to 189,225.99, 284,035.82 and 139,362.39 is: 209,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,225.99 : 284,035.82 = 139,362.39 : x
  2. Step 2: Convert to fraction form
    189,225.99/284,035.82 = 139,362.39/x
  3. Step 3: Cross multiply
    189,225.99x = 284,035.82 × 139,362.39
  4. Step 4: Simplify right side
    189,225.99x = 39,583,910,024.00
  5. Step 5: Solve for x
    x = 39,583,910,024.00/189,225.99
  6. Step 6: Final answer
    x = 209,188.55

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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.