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Finding the Fourth Proportional to 205,903.70, 284,126.37 and 115,253.78

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Solution

The fourth proportional to 205,903.70, 284,126.37 and 115,253.78 is: 159,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,903.70 : 284,126.37 = 115,253.78 : x
  2. Step 2: Convert to fraction form
    205,903.70/284,126.37 = 115,253.78/x
  3. Step 3: Cross multiply
    205,903.70x = 284,126.37 × 115,253.78
  4. Step 4: Simplify right side
    205,903.70x = 32,746,638,140.18
  5. Step 5: Solve for x
    x = 32,746,638,140.18/205,903.70
  6. Step 6: Final answer
    x = 159,038.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.