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Finding the Fourth Proportional to 205,812.64, 284,036.70 and 115,177.69

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Solution

The fourth proportional to 205,812.64, 284,036.70 and 115,177.69 is: 158,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.64 : 284,036.70 = 115,177.69 : x
  2. Step 2: Convert to fraction form
    205,812.64/284,036.70 = 115,177.69/x
  3. Step 3: Cross multiply
    205,812.64x = 284,036.70 × 115,177.69
  4. Step 4: Simplify right side
    205,812.64x = 32,714,690,981.22
  5. Step 5: Solve for x
    x = 32,714,690,981.22/205,812.64
  6. Step 6: Final answer
    x = 158,953.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.