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Finding the Fourth Proportional to 119,048.16, 164,289.66 and 65,335.09

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Solution

The fourth proportional to 119,048.16, 164,289.66 and 65,335.09 is: 90,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,048.16 : 164,289.66 = 65,335.09 : x
  2. Step 2: Convert to fraction form
    119,048.16/164,289.66 = 65,335.09/x
  3. Step 3: Cross multiply
    119,048.16x = 164,289.66 × 65,335.09
  4. Step 4: Simplify right side
    119,048.16x = 10,733,879,311.45
  5. Step 5: Solve for x
    x = 10,733,879,311.45/119,048.16
  6. Step 6: Final answer
    x = 90,164.18

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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.