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Finding the Fourth Proportional to 259,485, 358,089.34 and 140,253

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Solution

The fourth proportional to 259,485, 358,089.34 and 140,253 is: 193,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,485 : 358,089.34 = 140,253 : x
  2. Step 2: Convert to fraction form
    259,485/358,089.34 = 140,253/x
  3. Step 3: Cross multiply
    259,485x = 358,089.34 × 140,253
  4. Step 4: Simplify right side
    259,485x = 50,223,104,203.02
  5. Step 5: Solve for x
    x = 50,223,104,203.02/259,485
  6. Step 6: Final answer
    x = 193,549.16

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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.