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Finding the Fourth Proportional to 202,097, 278,890.12 and 111,461.38

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Solution

The fourth proportional to 202,097, 278,890.12 and 111,461.38 is: 153,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097 : 278,890.12 = 111,461.38 : x
  2. Step 2: Convert to fraction form
    202,097/278,890.12 = 111,461.38/x
  3. Step 3: Cross multiply
    202,097x = 278,890.12 × 111,461.38
  4. Step 4: Simplify right side
    202,097x = 31,085,477,643.57
  5. Step 5: Solve for x
    x = 31,085,477,643.57/202,097
  6. Step 6: Final answer
    x = 153,814.64

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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.