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Finding the Fourth Proportional to 260,962, 360,127.68 and 141,730

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Solution

The fourth proportional to 260,962, 360,127.68 and 141,730 is: 195,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,962 : 360,127.68 = 141,730 : x
  2. Step 2: Convert to fraction form
    260,962/360,127.68 = 141,730/x
  3. Step 3: Cross multiply
    260,962x = 360,127.68 × 141,730
  4. Step 4: Simplify right side
    260,962x = 51,040,896,086.40
  5. Step 5: Solve for x
    x = 51,040,896,086.40/260,962
  6. Step 6: Final answer
    x = 195,587.47

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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.