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Finding the Fourth Proportional to 205,903.02, 284,133 and 115,243.74

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Solution

The fourth proportional to 205,903.02, 284,133 and 115,243.74 is: 159,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,903.02 : 284,133 = 115,243.74 : x
  2. Step 2: Convert to fraction form
    205,903.02/284,133 = 115,243.74/x
  3. Step 3: Cross multiply
    205,903.02x = 284,133 × 115,243.74
  4. Step 4: Simplify right side
    205,903.02x = 32,744,549,577.42
  5. Step 5: Solve for x
    x = 32,744,549,577.42/205,903.02
  6. Step 6: Final answer
    x = 159,028.99

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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.