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Finding the Fourth Proportional to 71,202.40, 106,800.56 and 17,894.28

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Solution

The fourth proportional to 71,202.40, 106,800.56 and 17,894.28 is: 26,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.40 : 106,800.56 = 17,894.28 : x
  2. Step 2: Convert to fraction form
    71,202.40/106,800.56 = 17,894.28/x
  3. Step 3: Cross multiply
    71,202.40x = 106,800.56 × 17,894.28
  4. Step 4: Simplify right side
    71,202.40x = 1,911,119,124.80
  5. Step 5: Solve for x
    x = 1,911,119,124.80/71,202.40
  6. Step 6: Final answer
    x = 26,840.66

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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.