Home / 205,901.47-284,148.84-115,255.18

Finding the Fourth Proportional to 205,901.47, 284,148.84 and 115,255.18

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Solution

The fourth proportional to 205,901.47, 284,148.84 and 115,255.18 is: 159,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,901.47 : 284,148.84 = 115,255.18 : x
  2. Step 2: Convert to fraction form
    205,901.47/284,148.84 = 115,255.18/x
  3. Step 3: Cross multiply
    205,901.47x = 284,148.84 × 115,255.18
  4. Step 4: Simplify right side
    205,901.47x = 32,749,625,700.99
  5. Step 5: Solve for x
    x = 32,749,625,700.99/205,901.47
  6. Step 6: Final answer
    x = 159,054.84

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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.