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Finding the Fourth Proportional to 201,784.94, 278,465.09 and 111,141.23

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Solution

The fourth proportional to 201,784.94, 278,465.09 and 111,141.23 is: 153,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784.94 : 278,465.09 = 111,141.23 : x
  2. Step 2: Convert to fraction form
    201,784.94/278,465.09 = 111,141.23/x
  3. Step 3: Cross multiply
    201,784.94x = 278,465.09 × 111,141.23
  4. Step 4: Simplify right side
    201,784.94x = 30,948,952,543.86
  5. Step 5: Solve for x
    x = 30,948,952,543.86/201,784.94
  6. Step 6: Final answer
    x = 153,375.93

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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.