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Finding the Fourth Proportional to 261,970.20, 392,955.30 and 119,815.20

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Solution

The fourth proportional to 261,970.20, 392,955.30 and 119,815.20 is: 179,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,970.20 : 392,955.30 = 119,815.20 : x
  2. Step 2: Convert to fraction form
    261,970.20/392,955.30 = 119,815.20/x
  3. Step 3: Cross multiply
    261,970.20x = 392,955.30 × 119,815.20
  4. Step 4: Simplify right side
    261,970.20x = 47,082,017,860.56
  5. Step 5: Solve for x
    x = 47,082,017,860.56/261,970.20
  6. Step 6: Final answer
    x = 179,722.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.