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Finding the Fourth Proportional to 209,477.94, 314,176.36 and 81,394.01

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Solution

The fourth proportional to 209,477.94, 314,176.36 and 81,394.01 is: 122,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,477.94 : 314,176.36 = 81,394.01 : x
  2. Step 2: Convert to fraction form
    209,477.94/314,176.36 = 81,394.01/x
  3. Step 3: Cross multiply
    209,477.94x = 314,176.36 × 81,394.01
  4. Step 4: Simplify right side
    209,477.94x = 25,572,073,787.60
  5. Step 5: Solve for x
    x = 25,572,073,787.60/209,477.94
  6. Step 6: Final answer
    x = 122,075.26

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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.