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Finding the Fourth Proportional to 261,830, 361,325.40 and 142,598

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Solution

The fourth proportional to 261,830, 361,325.40 and 142,598 is: 196,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,830 : 361,325.40 = 142,598 : x
  2. Step 2: Convert to fraction form
    261,830/361,325.40 = 142,598/x
  3. Step 3: Cross multiply
    261,830x = 361,325.40 × 142,598
  4. Step 4: Simplify right side
    261,830x = 51,524,279,389.20
  5. Step 5: Solve for x
    x = 51,524,279,389.20/261,830
  6. Step 6: Final answer
    x = 196,785.24

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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.