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Finding the Fourth Proportional to 202,078.67, 278,862.14 and 111,438.45

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Solution

The fourth proportional to 202,078.67, 278,862.14 and 111,438.45 is: 153,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.67 : 278,862.14 = 111,438.45 : x
  2. Step 2: Convert to fraction form
    202,078.67/278,862.14 = 111,438.45/x
  3. Step 3: Cross multiply
    202,078.67x = 278,862.14 × 111,438.45
  4. Step 4: Simplify right side
    202,078.67x = 31,075,964,923.88
  5. Step 5: Solve for x
    x = 31,075,964,923.88/202,078.67
  6. Step 6: Final answer
    x = 153,781.52

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1.5x scale

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.