Home / 205,916.40-309,047.40-100,825.20

Finding the Fourth Proportional to 205,916.40, 309,047.40 and 100,825.20

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Solution

The fourth proportional to 205,916.40, 309,047.40 and 100,825.20 is: 151,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,916.40 : 309,047.40 = 100,825.20 : x
  2. Step 2: Convert to fraction form
    205,916.40/309,047.40 = 100,825.20/x
  3. Step 3: Cross multiply
    205,916.40x = 309,047.40 × 100,825.20
  4. Step 4: Simplify right side
    205,916.40x = 31,159,765,914.48
  5. Step 5: Solve for x
    x = 31,159,765,914.48/205,916.40
  6. Step 6: Final answer
    x = 151,322.41

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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.