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Finding the Fourth Proportional to 85,983, 118,657.74 and 47,224

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Solution

The fourth proportional to 85,983, 118,657.74 and 47,224 is: 65,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,983 : 118,657.74 = 47,224 : x
  2. Step 2: Convert to fraction form
    85,983/118,657.74 = 47,224/x
  3. Step 3: Cross multiply
    85,983x = 118,657.74 × 47,224
  4. Step 4: Simplify right side
    85,983x = 5,603,493,113.76
  5. Step 5: Solve for x
    x = 5,603,493,113.76/85,983
  6. Step 6: Final answer
    x = 65,169.78

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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.