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Finding the Fourth Proportional to 209,882.79, 314,824.16 and 52,111.23

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Solution

The fourth proportional to 209,882.79, 314,824.16 and 52,111.23 is: 78,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882.79 : 314,824.16 = 52,111.23 : x
  2. Step 2: Convert to fraction form
    209,882.79/314,824.16 = 52,111.23/x
  3. Step 3: Cross multiply
    209,882.79x = 314,824.16 × 52,111.23
  4. Step 4: Simplify right side
    209,882.79x = 16,405,873,950.76
  5. Step 5: Solve for x
    x = 16,405,873,950.76/209,882.79
  6. Step 6: Final answer
    x = 78,166.84

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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.