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Finding the Fourth Proportional to 260,129.25, 358,978.37 and 140,897.25

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Solution

The fourth proportional to 260,129.25, 358,978.37 and 140,897.25 is: 194,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,129.25 : 358,978.37 = 140,897.25 : x
  2. Step 2: Convert to fraction form
    260,129.25/358,978.37 = 140,897.25/x
  3. Step 3: Cross multiply
    260,129.25x = 358,978.37 × 140,897.25
  4. Step 4: Simplify right side
    260,129.25x = 50,579,064,438.00
  5. Step 5: Solve for x
    x = 50,579,064,438.00/260,129.25
  6. Step 6: Final answer
    x = 194,438.21

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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.