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Finding the Fourth Proportional to 174,378, 261,569.40 and 49,719

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Solution

The fourth proportional to 174,378, 261,569.40 and 49,719 is: 74,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,378 : 261,569.40 = 49,719 : x
  2. Step 2: Convert to fraction form
    174,378/261,569.40 = 49,719/x
  3. Step 3: Cross multiply
    174,378x = 261,569.40 × 49,719
  4. Step 4: Simplify right side
    174,378x = 13,004,968,998.60
  5. Step 5: Solve for x
    x = 13,004,968,998.60/174,378
  6. Step 6: Final answer
    x = 74,579.18

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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.