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Finding the Fourth Proportional to 261,130, 360,361.68 and 141,898

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Solution

The fourth proportional to 261,130, 360,361.68 and 141,898 is: 195,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,130 : 360,361.68 = 141,898 : x
  2. Step 2: Convert to fraction form
    261,130/360,361.68 = 141,898/x
  3. Step 3: Cross multiply
    261,130x = 360,361.68 × 141,898
  4. Step 4: Simplify right side
    261,130x = 51,134,601,668.64
  5. Step 5: Solve for x
    x = 51,134,601,668.64/261,130
  6. Step 6: Final answer
    x = 195,820.48

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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.