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Finding the Fourth Proportional to 209,415.36, 314,123.04 and 98,616

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Solution

The fourth proportional to 209,415.36, 314,123.04 and 98,616 is: 147,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,415.36 : 314,123.04 = 98,616 : x
  2. Step 2: Convert to fraction form
    209,415.36/314,123.04 = 98,616/x
  3. Step 3: Cross multiply
    209,415.36x = 314,123.04 × 98,616
  4. Step 4: Simplify right side
    209,415.36x = 30,977,557,712.64
  5. Step 5: Solve for x
    x = 30,977,557,712.64/209,415.36
  6. Step 6: Final answer
    x = 147,924

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.