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Finding the Fourth Proportional to 260,094, 358,929.72 and 140,862

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Solution

The fourth proportional to 260,094, 358,929.72 and 140,862 is: 194,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,094 : 358,929.72 = 140,862 : x
  2. Step 2: Convert to fraction form
    260,094/358,929.72 = 140,862/x
  3. Step 3: Cross multiply
    260,094x = 358,929.72 × 140,862
  4. Step 4: Simplify right side
    260,094x = 50,559,558,218.64
  5. Step 5: Solve for x
    x = 50,559,558,218.64/260,094
  6. Step 6: Final answer
    x = 194,389.56

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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.