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Finding the Fourth Proportional to 71,095.80, 106,645.50 and 18,507.72

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Solution

The fourth proportional to 71,095.80, 106,645.50 and 18,507.72 is: 27,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,095.80 : 106,645.50 = 18,507.72 : x
  2. Step 2: Convert to fraction form
    71,095.80/106,645.50 = 18,507.72/x
  3. Step 3: Cross multiply
    71,095.80x = 106,645.50 × 18,507.72
  4. Step 4: Simplify right side
    71,095.80x = 1,973,765,053.26
  5. Step 5: Solve for x
    x = 1,973,765,053.26/71,095.80
  6. Step 6: Final answer
    x = 27,762.05

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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.