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Finding the Fourth Proportional to 216,890.64, 299,308.77 and 121,415.67

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Solution

The fourth proportional to 216,890.64, 299,308.77 and 121,415.67 is: 167,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,890.64 : 299,308.77 = 121,415.67 : x
  2. Step 2: Convert to fraction form
    216,890.64/299,308.77 = 121,415.67/x
  3. Step 3: Cross multiply
    216,890.64x = 299,308.77 × 121,415.67
  4. Step 4: Simplify right side
    216,890.64x = 36,340,774,846.43
  5. Step 5: Solve for x
    x = 36,340,774,846.43/216,890.64
  6. Step 6: Final answer
    x = 167,553.45

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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.