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Finding the Fourth Proportional to 207,910.95, 286,915.72 and 117,267.70

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Solution

The fourth proportional to 207,910.95, 286,915.72 and 117,267.70 is: 161,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910.95 : 286,915.72 = 117,267.70 : x
  2. Step 2: Convert to fraction form
    207,910.95/286,915.72 = 117,267.70/x
  3. Step 3: Cross multiply
    207,910.95x = 286,915.72 × 117,267.70
  4. Step 4: Simplify right side
    207,910.95x = 33,645,946,325.63
  5. Step 5: Solve for x
    x = 33,645,946,325.63/207,910.95
  6. Step 6: Final answer
    x = 161,828.64

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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.