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Finding the Fourth Proportional to 216,893.82, 299,313.38 and 121,400.50

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Solution

The fourth proportional to 216,893.82, 299,313.38 and 121,400.50 is: 167,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,893.82 : 299,313.38 = 121,400.50 : x
  2. Step 2: Convert to fraction form
    216,893.82/299,313.38 = 121,400.50/x
  3. Step 3: Cross multiply
    216,893.82x = 299,313.38 × 121,400.50
  4. Step 4: Simplify right side
    216,893.82x = 36,336,793,988.69
  5. Step 5: Solve for x
    x = 36,336,793,988.69/216,893.82
  6. Step 6: Final answer
    x = 167,532.64

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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.