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Finding the Fourth Proportional to 216,881.30, 299,296.16 and 121,388

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Solution

The fourth proportional to 216,881.30, 299,296.16 and 121,388 is: 167,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,881.30 : 299,296.16 = 121,388 : x
  2. Step 2: Convert to fraction form
    216,881.30/299,296.16 = 121,388/x
  3. Step 3: Cross multiply
    216,881.30x = 299,296.16 × 121,388
  4. Step 4: Simplify right side
    216,881.30x = 36,330,962,270.08
  5. Step 5: Solve for x
    x = 36,330,962,270.08/216,881.30
  6. Step 6: Final answer
    x = 167,515.42

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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.