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Finding the Fourth Proportional to 201,451.57, 278,008.41 and 110,809.87

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Solution

The fourth proportional to 201,451.57, 278,008.41 and 110,809.87 is: 152,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,451.57 : 278,008.41 = 110,809.87 : x
  2. Step 2: Convert to fraction form
    201,451.57/278,008.41 = 110,809.87/x
  3. Step 3: Cross multiply
    201,451.57x = 278,008.41 × 110,809.87
  4. Step 4: Simplify right side
    201,451.57x = 30,806,075,771.01
  5. Step 5: Solve for x
    x = 30,806,075,771.01/201,451.57
  6. Step 6: Final answer
    x = 152,920.50

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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.