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Finding the Fourth Proportional to 77,203.60, 106,542.88 and 43,211.80

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Solution

The fourth proportional to 77,203.60, 106,542.88 and 43,211.80 is: 59,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,203.60 : 106,542.88 = 43,211.80 : x
  2. Step 2: Convert to fraction form
    77,203.60/106,542.88 = 43,211.80/x
  3. Step 3: Cross multiply
    77,203.60x = 106,542.88 × 43,211.80
  4. Step 4: Simplify right side
    77,203.60x = 4,603,909,621.98
  5. Step 5: Solve for x
    x = 4,603,909,621.98/77,203.60
  6. Step 6: Final answer
    x = 59,633.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.