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Finding the Fourth Proportional to 216,421.93, 298,661.63 and 120,928.71

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Solution

The fourth proportional to 216,421.93, 298,661.63 and 120,928.71 is: 166,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,421.93 : 298,661.63 = 120,928.71 : x
  2. Step 2: Convert to fraction form
    216,421.93/298,661.63 = 120,928.71/x
  3. Step 3: Cross multiply
    216,421.93x = 298,661.63 × 120,928.71
  4. Step 4: Simplify right side
    216,421.93x = 36,116,764,318.00
  5. Step 5: Solve for x
    x = 36,116,764,318.00/216,421.93
  6. Step 6: Final answer
    x = 166,881.26

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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.