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Finding the Fourth Proportional to 200,075.40, 299,779.86 and 140,786.50

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Solution

The fourth proportional to 200,075.40, 299,779.86 and 140,786.50 is: 210,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,075.40 : 299,779.86 = 140,786.50 : x
  2. Step 2: Convert to fraction form
    200,075.40/299,779.86 = 140,786.50/x
  3. Step 3: Cross multiply
    200,075.40x = 299,779.86 × 140,786.50
  4. Step 4: Simplify right side
    200,075.40x = 42,204,957,259.89
  5. Step 5: Solve for x
    x = 42,204,957,259.89/200,075.40
  6. Step 6: Final answer
    x = 210,945.27

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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.