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Finding the Fourth Proportional to 207,480, 286,374.24 and 118,107.84

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Solution

The fourth proportional to 207,480, 286,374.24 and 118,107.84 is: 163,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,480 : 286,374.24 = 118,107.84 : x
  2. Step 2: Convert to fraction form
    207,480/286,374.24 = 118,107.84/x
  3. Step 3: Cross multiply
    207,480x = 286,374.24 × 118,107.84
  4. Step 4: Simplify right side
    207,480x = 33,823,042,918.04
  5. Step 5: Solve for x
    x = 33,823,042,918.04/207,480
  6. Step 6: Final answer
    x = 163,018.33

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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.