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Finding the Fourth Proportional to 71,898.32, 107,847.74 and 21,978.22

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Solution

The fourth proportional to 71,898.32, 107,847.74 and 21,978.22 is: 32,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,898.32 : 107,847.74 = 21,978.22 : x
  2. Step 2: Convert to fraction form
    71,898.32/107,847.74 = 21,978.22/x
  3. Step 3: Cross multiply
    71,898.32x = 107,847.74 × 21,978.22
  4. Step 4: Simplify right side
    71,898.32x = 2,370,301,356.22
  5. Step 5: Solve for x
    x = 2,370,301,356.22/71,898.32
  6. Step 6: Final answer
    x = 32,967.41

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1.5x scale

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.