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Finding the Fourth Proportional to 259,973, 358,762.74 and 140,741

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Solution

The fourth proportional to 259,973, 358,762.74 and 140,741 is: 194,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,973 : 358,762.74 = 140,741 : x
  2. Step 2: Convert to fraction form
    259,973/358,762.74 = 140,741/x
  3. Step 3: Cross multiply
    259,973x = 358,762.74 × 140,741
  4. Step 4: Simplify right side
    259,973x = 50,492,626,790.34
  5. Step 5: Solve for x
    x = 50,492,626,790.34/259,973
  6. Step 6: Final answer
    x = 194,222.58

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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.