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Finding the Fourth Proportional to 208,763.84, 288,328.80 and 140,661.56

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Solution

The fourth proportional to 208,763.84, 288,328.80 and 140,661.56 is: 194,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,763.84 : 288,328.80 = 140,661.56 : x
  2. Step 2: Convert to fraction form
    208,763.84/288,328.80 = 140,661.56/x
  3. Step 3: Cross multiply
    208,763.84x = 288,328.80 × 140,661.56
  4. Step 4: Simplify right side
    208,763.84x = 40,556,777,359.28
  5. Step 5: Solve for x
    x = 40,556,777,359.28/208,763.84
  6. Step 6: Final answer
    x = 194,271.09

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1.5x scale

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.