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Finding the Fourth Proportional to 119,289.82, 164,618.62 and 64,840.81

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Solution

The fourth proportional to 119,289.82, 164,618.62 and 64,840.81 is: 89,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289.82 : 164,618.62 = 64,840.81 : x
  2. Step 2: Convert to fraction form
    119,289.82/164,618.62 = 64,840.81/x
  3. Step 3: Cross multiply
    119,289.82x = 164,618.62 × 64,840.81
  4. Step 4: Simplify right side
    119,289.82x = 10,674,004,579.26
  5. Step 5: Solve for x
    x = 10,674,004,579.26/119,289.82
  6. Step 6: Final answer
    x = 89,479.59

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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.