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Finding the Fourth Proportional to 189,699.52, 284,276.40 and 139,384.48

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Solution

The fourth proportional to 189,699.52, 284,276.40 and 139,384.48 is: 208,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,699.52 : 284,276.40 = 139,384.48 : x
  2. Step 2: Convert to fraction form
    189,699.52/284,276.40 = 139,384.48/x
  3. Step 3: Cross multiply
    189,699.52x = 284,276.40 × 139,384.48
  4. Step 4: Simplify right side
    189,699.52x = 39,623,718,190.27
  5. Step 5: Solve for x
    x = 39,623,718,190.27/189,699.52
  6. Step 6: Final answer
    x = 208,876.22

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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.