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Finding the Fourth Proportional to 259,207, 357,705.66 and 139,975

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Solution

The fourth proportional to 259,207, 357,705.66 and 139,975 is: 193,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,207 : 357,705.66 = 139,975 : x
  2. Step 2: Convert to fraction form
    259,207/357,705.66 = 139,975/x
  3. Step 3: Cross multiply
    259,207x = 357,705.66 × 139,975
  4. Step 4: Simplify right side
    259,207x = 50,069,849,758.50
  5. Step 5: Solve for x
    x = 50,069,849,758.50/259,207
  6. Step 6: Final answer
    x = 193,165.50

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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.