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Finding the Fourth Proportional to 260,052, 358,871.76 and 140,820

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Solution

The fourth proportional to 260,052, 358,871.76 and 140,820 is: 194,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,052 : 358,871.76 = 140,820 : x
  2. Step 2: Convert to fraction form
    260,052/358,871.76 = 140,820/x
  3. Step 3: Cross multiply
    260,052x = 358,871.76 × 140,820
  4. Step 4: Simplify right side
    260,052x = 50,536,321,243.20
  5. Step 5: Solve for x
    x = 50,536,321,243.20/260,052
  6. Step 6: Final answer
    x = 194,331.60

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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.