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Finding the Fourth Proportional to 216,978.33, 299,455.68 and 121,466.57

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Solution

The fourth proportional to 216,978.33, 299,455.68 and 121,466.57 is: 167,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,978.33 : 299,455.68 = 121,466.57 : x
  2. Step 2: Convert to fraction form
    216,978.33/299,455.68 = 121,466.57/x
  3. Step 3: Cross multiply
    216,978.33x = 299,455.68 × 121,466.57
  4. Step 4: Simplify right side
    216,978.33x = 36,373,852,819.34
  5. Step 5: Solve for x
    x = 36,373,852,819.34/216,978.33
  6. Step 6: Final answer
    x = 167,638.18

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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.