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Finding the Fourth Proportional to 71,055.82, 106,521.01 and 28,971.10

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Solution

The fourth proportional to 71,055.82, 106,521.01 and 28,971.10 is: 43,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,055.82 : 106,521.01 = 28,971.10 : x
  2. Step 2: Convert to fraction form
    71,055.82/106,521.01 = 28,971.10/x
  3. Step 3: Cross multiply
    71,055.82x = 106,521.01 × 28,971.10
  4. Step 4: Simplify right side
    71,055.82x = 3,086,030,494.08
  5. Step 5: Solve for x
    x = 3,086,030,494.08/71,055.82
  6. Step 6: Final answer
    x = 43,431.07

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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.