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Finding the Fourth Proportional to 261,911, 361,437.18 and 142,679

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Solution

The fourth proportional to 261,911, 361,437.18 and 142,679 is: 196,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,911 : 361,437.18 = 142,679 : x
  2. Step 2: Convert to fraction form
    261,911/361,437.18 = 142,679/x
  3. Step 3: Cross multiply
    261,911x = 361,437.18 × 142,679
  4. Step 4: Simplify right side
    261,911x = 51,569,495,405.22
  5. Step 5: Solve for x
    x = 51,569,495,405.22/261,911
  6. Step 6: Final answer
    x = 196,897.02

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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.