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Finding the Fourth Proportional to 207,800.12, 286,749.78 and 117,159.32

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Solution

The fourth proportional to 207,800.12, 286,749.78 and 117,159.32 is: 161,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,800.12 : 286,749.78 = 117,159.32 : x
  2. Step 2: Convert to fraction form
    207,800.12/286,749.78 = 117,159.32/x
  3. Step 3: Cross multiply
    207,800.12x = 286,749.78 × 117,159.32
  4. Step 4: Simplify right side
    207,800.12x = 33,595,409,234.95
  5. Step 5: Solve for x
    x = 33,595,409,234.95/207,800.12
  6. Step 6: Final answer
    x = 161,671.75

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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.