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Finding the Fourth Proportional to 118,973.21, 164,180.21 and 65,257.74

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Solution

The fourth proportional to 118,973.21, 164,180.21 and 65,257.74 is: 90,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,973.21 : 164,180.21 = 65,257.74 : x
  2. Step 2: Convert to fraction form
    118,973.21/164,180.21 = 65,257.74/x
  3. Step 3: Cross multiply
    118,973.21x = 164,180.21 × 65,257.74
  4. Step 4: Simplify right side
    118,973.21x = 10,714,029,131.04
  5. Step 5: Solve for x
    x = 10,714,029,131.04/118,973.21
  6. Step 6: Final answer
    x = 90,054.14

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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.