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Finding the Fourth Proportional to 153,989, 212,504.82 and 83,333

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Solution

The fourth proportional to 153,989, 212,504.82 and 83,333 is: 114,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,989 : 212,504.82 = 83,333 : x
  2. Step 2: Convert to fraction form
    153,989/212,504.82 = 83,333/x
  3. Step 3: Cross multiply
    153,989x = 212,504.82 × 83,333
  4. Step 4: Simplify right side
    153,989x = 17,708,664,165.06
  5. Step 5: Solve for x
    x = 17,708,664,165.06/153,989
  6. Step 6: Final answer
    x = 114,999.54

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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.