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Finding the Fourth Proportional to 216,643.66, 298,962.64 and 119,845

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Solution

The fourth proportional to 216,643.66, 298,962.64 and 119,845 is: 165,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.66 : 298,962.64 = 119,845 : x
  2. Step 2: Convert to fraction form
    216,643.66/298,962.64 = 119,845/x
  3. Step 3: Cross multiply
    216,643.66x = 298,962.64 × 119,845
  4. Step 4: Simplify right side
    216,643.66x = 35,829,177,590.80
  5. Step 5: Solve for x
    x = 35,829,177,590.80/216,643.66
  6. Step 6: Final answer
    x = 165,383.00

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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.