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Finding the Fourth Proportional to 271,867.90, 407,860.21 and 105,655.90

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Solution

The fourth proportional to 271,867.90, 407,860.21 and 105,655.90 is: 158,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,867.90 : 407,860.21 = 105,655.90 : x
  2. Step 2: Convert to fraction form
    271,867.90/407,860.21 = 105,655.90/x
  3. Step 3: Cross multiply
    271,867.90x = 407,860.21 × 105,655.90
  4. Step 4: Simplify right side
    271,867.90x = 43,092,837,561.74
  5. Step 5: Solve for x
    x = 43,092,837,561.74/271,867.90
  6. Step 6: Final answer
    x = 158,506.53

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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.