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Finding the Fourth Proportional to 71,021.16, 106,490.34 and 28,921.50

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Solution

The fourth proportional to 71,021.16, 106,490.34 and 28,921.50 is: 43,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,021.16 : 106,490.34 = 28,921.50 : x
  2. Step 2: Convert to fraction form
    71,021.16/106,490.34 = 28,921.50/x
  3. Step 3: Cross multiply
    71,021.16x = 106,490.34 × 28,921.50
  4. Step 4: Simplify right side
    71,021.16x = 3,079,860,368.31
  5. Step 5: Solve for x
    x = 3,079,860,368.31/71,021.16
  6. Step 6: Final answer
    x = 43,365.39

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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.