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Finding the Fourth Proportional to 260,187, 359,058.54 and 140,955

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Solution

The fourth proportional to 260,187, 359,058.54 and 140,955 is: 194,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,187 : 359,058.54 = 140,955 : x
  2. Step 2: Convert to fraction form
    260,187/359,058.54 = 140,955/x
  3. Step 3: Cross multiply
    260,187x = 359,058.54 × 140,955
  4. Step 4: Simplify right side
    260,187x = 50,611,096,505.70
  5. Step 5: Solve for x
    x = 50,611,096,505.70/260,187
  6. Step 6: Final answer
    x = 194,518.16

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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.