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Finding the Fourth Proportional to 199,431.72, 299,113.02 and 51,687.72

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Solution

The fourth proportional to 199,431.72, 299,113.02 and 51,687.72 is: 77,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,431.72 : 299,113.02 = 51,687.72 : x
  2. Step 2: Convert to fraction form
    199,431.72/299,113.02 = 51,687.72/x
  3. Step 3: Cross multiply
    199,431.72x = 299,113.02 × 51,687.72
  4. Step 4: Simplify right side
    199,431.72x = 15,460,470,026.11
  5. Step 5: Solve for x
    x = 15,460,470,026.11/199,431.72
  6. Step 6: Final answer
    x = 77,522.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.