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Finding the Fourth Proportional to 260,088, 358,921.44 and 140,856

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Solution

The fourth proportional to 260,088, 358,921.44 and 140,856 is: 194,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,088 : 358,921.44 = 140,856 : x
  2. Step 2: Convert to fraction form
    260,088/358,921.44 = 140,856/x
  3. Step 3: Cross multiply
    260,088x = 358,921.44 × 140,856
  4. Step 4: Simplify right side
    260,088x = 50,556,238,352.64
  5. Step 5: Solve for x
    x = 50,556,238,352.64/260,088
  6. Step 6: Final answer
    x = 194,381.28

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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.