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Finding the Fourth Proportional to 71,830.90, 107,752.59 and 21,922.24

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Solution

The fourth proportional to 71,830.90, 107,752.59 and 21,922.24 is: 32,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830.90 : 107,752.59 = 21,922.24 : x
  2. Step 2: Convert to fraction form
    71,830.90/107,752.59 = 21,922.24/x
  3. Step 3: Cross multiply
    71,830.90x = 107,752.59 × 21,922.24
  4. Step 4: Simplify right side
    71,830.90x = 2,362,178,138.60
  5. Step 5: Solve for x
    x = 2,362,178,138.60/71,830.90
  6. Step 6: Final answer
    x = 32,885.26

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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.