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Finding the Fourth Proportional to 259,303, 357,838.14 and 140,071

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Solution

The fourth proportional to 259,303, 357,838.14 and 140,071 is: 193,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,303 : 357,838.14 = 140,071 : x
  2. Step 2: Convert to fraction form
    259,303/357,838.14 = 140,071/x
  3. Step 3: Cross multiply
    259,303x = 357,838.14 × 140,071
  4. Step 4: Simplify right side
    259,303x = 50,122,746,107.94
  5. Step 5: Solve for x
    x = 50,122,746,107.94/259,303
  6. Step 6: Final answer
    x = 193,297.98

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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.