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Finding the Fourth Proportional to 261,972, 361,521.36 and 142,740

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Solution

The fourth proportional to 261,972, 361,521.36 and 142,740 is: 196,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,972 : 361,521.36 = 142,740 : x
  2. Step 2: Convert to fraction form
    261,972/361,521.36 = 142,740/x
  3. Step 3: Cross multiply
    261,972x = 361,521.36 × 142,740
  4. Step 4: Simplify right side
    261,972x = 51,603,558,926.40
  5. Step 5: Solve for x
    x = 51,603,558,926.40/261,972
  6. Step 6: Final answer
    x = 196,981.20

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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.