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Finding the Fourth Proportional to 147,969, 204,205.40 and 84,294.60

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Solution

The fourth proportional to 147,969, 204,205.40 and 84,294.60 is: 116,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,969 : 204,205.40 = 84,294.60 : x
  2. Step 2: Convert to fraction form
    147,969/204,205.40 = 84,294.60/x
  3. Step 3: Cross multiply
    147,969x = 204,205.40 × 84,294.60
  4. Step 4: Simplify right side
    147,969x = 17,213,412,510.84
  5. Step 5: Solve for x
    x = 17,213,412,510.84/147,969
  6. Step 6: Final answer
    x = 116,331.21

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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.