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Finding the Fourth Proportional to 216,878.72, 299,289.53 and 120,073.29

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Solution

The fourth proportional to 216,878.72, 299,289.53 and 120,073.29 is: 165,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,878.72 : 299,289.53 = 120,073.29 : x
  2. Step 2: Convert to fraction form
    216,878.72/299,289.53 = 120,073.29/x
  3. Step 3: Cross multiply
    216,878.72x = 299,289.53 × 120,073.29
  4. Step 4: Simplify right side
    216,878.72x = 35,936,677,707.50
  5. Step 5: Solve for x
    x = 35,936,677,707.50/216,878.72
  6. Step 6: Final answer
    x = 165,699.42

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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.