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Finding the Fourth Proportional to 260,146, 359,001.48 and 140,914

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Solution

The fourth proportional to 260,146, 359,001.48 and 140,914 is: 194,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,146 : 359,001.48 = 140,914 : x
  2. Step 2: Convert to fraction form
    260,146/359,001.48 = 140,914/x
  3. Step 3: Cross multiply
    260,146x = 359,001.48 × 140,914
  4. Step 4: Simplify right side
    260,146x = 50,588,334,552.72
  5. Step 5: Solve for x
    x = 50,588,334,552.72/260,146
  6. Step 6: Final answer
    x = 194,461.32

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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.