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Finding the Fourth Proportional to 260,209, 359,088.42 and 140,977

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Solution

The fourth proportional to 260,209, 359,088.42 and 140,977 is: 194,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,209 : 359,088.42 = 140,977 : x
  2. Step 2: Convert to fraction form
    260,209/359,088.42 = 140,977/x
  3. Step 3: Cross multiply
    260,209x = 359,088.42 × 140,977
  4. Step 4: Simplify right side
    260,209x = 50,623,208,186.34
  5. Step 5: Solve for x
    x = 50,623,208,186.34/260,209
  6. Step 6: Final answer
    x = 194,548.26

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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.