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Finding the Fourth Proportional to 260,065, 358,889.70 and 140,833

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Solution

The fourth proportional to 260,065, 358,889.70 and 140,833 is: 194,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,065 : 358,889.70 = 140,833 : x
  2. Step 2: Convert to fraction form
    260,065/358,889.70 = 140,833/x
  3. Step 3: Cross multiply
    260,065x = 358,889.70 × 140,833
  4. Step 4: Simplify right side
    260,065x = 50,543,513,120.10
  5. Step 5: Solve for x
    x = 50,543,513,120.10/260,065
  6. Step 6: Final answer
    x = 194,349.54

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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.