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Finding the Fourth Proportional to 207,894.33, 286,893.93 and 112,400.80

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Solution

The fourth proportional to 207,894.33, 286,893.93 and 112,400.80 is: 155,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,894.33 : 286,893.93 = 112,400.80 : x
  2. Step 2: Convert to fraction form
    207,894.33/286,893.93 = 112,400.80/x
  3. Step 3: Cross multiply
    207,894.33x = 286,893.93 × 112,400.80
  4. Step 4: Simplify right side
    207,894.33x = 32,247,106,980.52
  5. Step 5: Solve for x
    x = 32,247,106,980.52/207,894.33
  6. Step 6: Final answer
    x = 155,112.97

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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.