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Finding the Fourth Proportional to 201,710.86, 278,358.69 and 111,064.93

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Solution

The fourth proportional to 201,710.86, 278,358.69 and 111,064.93 is: 153,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.86 : 278,358.69 = 111,064.93 : x
  2. Step 2: Convert to fraction form
    201,710.86/278,358.69 = 111,064.93/x
  3. Step 3: Cross multiply
    201,710.86x = 278,358.69 × 111,064.93
  4. Step 4: Simplify right side
    201,710.86x = 30,915,888,419.74
  5. Step 5: Solve for x
    x = 30,915,888,419.74/201,710.86
  6. Step 6: Final answer
    x = 153,268.34

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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.