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Finding the Fourth Proportional to 154,563.84, 213,300.81 and 86,580.27

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Solution

The fourth proportional to 154,563.84, 213,300.81 and 86,580.27 is: 119,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,563.84 : 213,300.81 = 86,580.27 : x
  2. Step 2: Convert to fraction form
    154,563.84/213,300.81 = 86,580.27/x
  3. Step 3: Cross multiply
    154,563.84x = 213,300.81 × 86,580.27
  4. Step 4: Simplify right side
    154,563.84x = 18,467,641,721.02
  5. Step 5: Solve for x
    x = 18,467,641,721.02/154,563.84
  6. Step 6: Final answer
    x = 119,482.29

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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.