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Finding the Fourth Proportional to 158,103.84, 218,262.96 and 122,212.80

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Solution

The fourth proportional to 158,103.84, 218,262.96 and 122,212.80 is: 168,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,103.84 : 218,262.96 = 122,212.80 : x
  2. Step 2: Convert to fraction form
    158,103.84/218,262.96 = 122,212.80/x
  3. Step 3: Cross multiply
    158,103.84x = 218,262.96 × 122,212.80
  4. Step 4: Simplify right side
    158,103.84x = 26,674,527,477.89
  5. Step 5: Solve for x
    x = 26,674,527,477.89/158,103.84
  6. Step 6: Final answer
    x = 168,715.24

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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.