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Finding the Fourth Proportional to 119,401.64, 164,719 and 71,572

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Solution

The fourth proportional to 119,401.64, 164,719 and 71,572 is: 98,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,401.64 : 164,719 = 71,572 : x
  2. Step 2: Convert to fraction form
    119,401.64/164,719 = 71,572/x
  3. Step 3: Cross multiply
    119,401.64x = 164,719 × 71,572
  4. Step 4: Simplify right side
    119,401.64x = 11,789,268,268
  5. Step 5: Solve for x
    x = 11,789,268,268/119,401.64
  6. Step 6: Final answer
    x = 98,736.23

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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.