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Finding the Fourth Proportional to 260,210, 359,089.80 and 140,978

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Solution

The fourth proportional to 260,210, 359,089.80 and 140,978 is: 194,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,210 : 359,089.80 = 140,978 : x
  2. Step 2: Convert to fraction form
    260,210/359,089.80 = 140,978/x
  3. Step 3: Cross multiply
    260,210x = 359,089.80 × 140,978
  4. Step 4: Simplify right side
    260,210x = 50,623,761,824.40
  5. Step 5: Solve for x
    x = 50,623,761,824.40/260,210
  6. Step 6: Final answer
    x = 194,549.64

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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.