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Finding the Fourth Proportional to 118,881.64, 164,058.51 and 71,137

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Solution

The fourth proportional to 118,881.64, 164,058.51 and 71,137 is: 98,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,881.64 : 164,058.51 = 71,137 : x
  2. Step 2: Convert to fraction form
    118,881.64/164,058.51 = 71,137/x
  3. Step 3: Cross multiply
    118,881.64x = 164,058.51 × 71,137
  4. Step 4: Simplify right side
    118,881.64x = 11,670,630,225.87
  5. Step 5: Solve for x
    x = 11,670,630,225.87/118,881.64
  6. Step 6: Final answer
    x = 98,170.17

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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.