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Finding the Fourth Proportional to 207,902.88, 286,905.58 and 117,258.57

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Solution

The fourth proportional to 207,902.88, 286,905.58 and 117,258.57 is: 161,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902.88 : 286,905.58 = 117,258.57 : x
  2. Step 2: Convert to fraction form
    207,902.88/286,905.58 = 117,258.57/x
  3. Step 3: Cross multiply
    207,902.88x = 286,905.58 × 117,258.57
  4. Step 4: Simplify right side
    207,902.88x = 33,642,138,035.82
  5. Step 5: Solve for x
    x = 33,642,138,035.82/207,902.88
  6. Step 6: Final answer
    x = 161,816.60

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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.