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Finding the Fourth Proportional to 216,887.94, 299,302.43 and 121,394.61

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Solution

The fourth proportional to 216,887.94, 299,302.43 and 121,394.61 is: 167,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,887.94 : 299,302.43 = 121,394.61 : x
  2. Step 2: Convert to fraction form
    216,887.94/299,302.43 = 121,394.61/x
  3. Step 3: Cross multiply
    216,887.94x = 299,302.43 × 121,394.61
  4. Step 4: Simplify right side
    216,887.94x = 36,333,701,154.93
  5. Step 5: Solve for x
    x = 36,333,701,154.93/216,887.94
  6. Step 6: Final answer
    x = 167,522.92

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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.