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Finding the Fourth Proportional to 216,461.52, 298,730.16 and 120,975.84

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Solution

The fourth proportional to 216,461.52, 298,730.16 and 120,975.84 is: 166,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,461.52 : 298,730.16 = 120,975.84 : x
  2. Step 2: Convert to fraction form
    216,461.52/298,730.16 = 120,975.84/x
  3. Step 3: Cross multiply
    216,461.52x = 298,730.16 × 120,975.84
  4. Step 4: Simplify right side
    216,461.52x = 36,139,132,039.33
  5. Step 5: Solve for x
    x = 36,139,132,039.33/216,461.52
  6. Step 6: Final answer
    x = 166,954.07

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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.