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Finding the Fourth Proportional to 209,495.52, 314,243.92 and 51,724

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Solution

The fourth proportional to 209,495.52, 314,243.92 and 51,724 is: 77,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,495.52 : 314,243.92 = 51,724 : x
  2. Step 2: Convert to fraction form
    209,495.52/314,243.92 = 51,724/x
  3. Step 3: Cross multiply
    209,495.52x = 314,243.92 × 51,724
  4. Step 4: Simplify right side
    209,495.52x = 16,253,952,518.08
  5. Step 5: Solve for x
    x = 16,253,952,518.08/209,495.52
  6. Step 6: Final answer
    x = 77,586.16

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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.