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Finding the Fourth Proportional to 271,551.60, 407,347.38 and 71,870.63

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Solution

The fourth proportional to 271,551.60, 407,347.38 and 71,870.63 is: 107,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,551.60 : 407,347.38 = 71,870.63 : x
  2. Step 2: Convert to fraction form
    271,551.60/407,347.38 = 71,870.63/x
  3. Step 3: Cross multiply
    271,551.60x = 407,347.38 × 71,870.63
  4. Step 4: Simplify right side
    271,551.60x = 29,276,312,470.10
  5. Step 5: Solve for x
    x = 29,276,312,470.10/271,551.60
  6. Step 6: Final answer
    x = 107,811.23

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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.