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Finding the Fourth Proportional to 205,883.80, 284,106.45 and 115,224.46

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Solution

The fourth proportional to 205,883.80, 284,106.45 and 115,224.46 is: 159,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,883.80 : 284,106.45 = 115,224.46 : x
  2. Step 2: Convert to fraction form
    205,883.80/284,106.45 = 115,224.46/x
  3. Step 3: Cross multiply
    205,883.80x = 284,106.45 × 115,224.46
  4. Step 4: Simplify right side
    205,883.80x = 32,736,012,283.77
  5. Step 5: Solve for x
    x = 32,736,012,283.77/205,883.80
  6. Step 6: Final answer
    x = 159,002.37

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1.5x scale

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.