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Finding the Fourth Proportional to 178,251, 245,986.38 and 102,799.50

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Solution

The fourth proportional to 178,251, 245,986.38 and 102,799.50 is: 141,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,251 : 245,986.38 = 102,799.50 : x
  2. Step 2: Convert to fraction form
    178,251/245,986.38 = 102,799.50/x
  3. Step 3: Cross multiply
    178,251x = 245,986.38 × 102,799.50
  4. Step 4: Simplify right side
    178,251x = 25,287,276,870.81
  5. Step 5: Solve for x
    x = 25,287,276,870.81/178,251
  6. Step 6: Final answer
    x = 141,863.31

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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.