Home / 205,811.36-284,011.92-116,389.28

Finding the Fourth Proportional to 205,811.36, 284,011.92 and 116,389.28

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Solution

The fourth proportional to 205,811.36, 284,011.92 and 116,389.28 is: 160,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,811.36 : 284,011.92 = 116,389.28 : x
  2. Step 2: Convert to fraction form
    205,811.36/284,011.92 = 116,389.28/x
  3. Step 3: Cross multiply
    205,811.36x = 284,011.92 × 116,389.28
  4. Step 4: Simplify right side
    205,811.36x = 33,055,942,880.22
  5. Step 5: Solve for x
    x = 33,055,942,880.22/205,811.36
  6. Step 6: Final answer
    x = 160,612.82

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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.