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Finding the Fourth Proportional to 190,273, 262,576.76 and 105,395.52

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Solution

The fourth proportional to 190,273, 262,576.76 and 105,395.52 is: 145,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,273 : 262,576.76 = 105,395.52 : x
  2. Step 2: Convert to fraction form
    190,273/262,576.76 = 105,395.52/x
  3. Step 3: Cross multiply
    190,273x = 262,576.76 × 105,395.52
  4. Step 4: Simplify right side
    190,273x = 27,674,414,160.12
  5. Step 5: Solve for x
    x = 27,674,414,160.12/190,273
  6. Step 6: Final answer
    x = 145,445.83

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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.