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Finding the Fourth Proportional to 259,097.60, 388,609.48 and 81,599.98

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Solution

The fourth proportional to 259,097.60, 388,609.48 and 81,599.98 is: 122,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,097.60 : 388,609.48 = 81,599.98 : x
  2. Step 2: Convert to fraction form
    259,097.60/388,609.48 = 81,599.98/x
  3. Step 3: Cross multiply
    259,097.60x = 388,609.48 × 81,599.98
  4. Step 4: Simplify right side
    259,097.60x = 31,710,525,795.81
  5. Step 5: Solve for x
    x = 31,710,525,795.81/259,097.60
  6. Step 6: Final answer
    x = 122,388.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.