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Finding the Fourth Proportional to 209,675.76, 289,330.56 and 122,463.60

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Solution

The fourth proportional to 209,675.76, 289,330.56 and 122,463.60 is: 168,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,675.76 : 289,330.56 = 122,463.60 : x
  2. Step 2: Convert to fraction form
    209,675.76/289,330.56 = 122,463.60/x
  3. Step 3: Cross multiply
    209,675.76x = 289,330.56 × 122,463.60
  4. Step 4: Simplify right side
    209,675.76x = 35,432,461,967.62
  5. Step 5: Solve for x
    x = 35,432,461,967.62/209,675.76
  6. Step 6: Final answer
    x = 168,986.93

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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.