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Finding the Fourth Proportional to 119,116, 164,384.88 and 65,403.20

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Solution

The fourth proportional to 119,116, 164,384.88 and 65,403.20 is: 90,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,116 : 164,384.88 = 65,403.20 : x
  2. Step 2: Convert to fraction form
    119,116/164,384.88 = 65,403.20/x
  3. Step 3: Cross multiply
    119,116x = 164,384.88 × 65,403.20
  4. Step 4: Simplify right side
    119,116x = 10,751,297,183.62
  5. Step 5: Solve for x
    x = 10,751,297,183.62/119,116
  6. Step 6: Final answer
    x = 90,259.05

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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.