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Finding the Fourth Proportional to 202,102.51, 278,895.47 and 111,458.45

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Solution

The fourth proportional to 202,102.51, 278,895.47 and 111,458.45 is: 153,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102.51 : 278,895.47 = 111,458.45 : x
  2. Step 2: Convert to fraction form
    202,102.51/278,895.47 = 111,458.45/x
  3. Step 3: Cross multiply
    202,102.51x = 278,895.47 × 111,458.45
  4. Step 4: Simplify right side
    202,102.51x = 31,085,255,996.33
  5. Step 5: Solve for x
    x = 31,085,255,996.33/202,102.51
  6. Step 6: Final answer
    x = 153,809.35

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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.