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Finding the Fourth Proportional to 209,130.71, 313,697.11 and 51,359.21

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Solution

The fourth proportional to 209,130.71, 313,697.11 and 51,359.21 is: 77,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,130.71 : 313,697.11 = 51,359.21 : x
  2. Step 2: Convert to fraction form
    209,130.71/313,697.11 = 51,359.21/x
  3. Step 3: Cross multiply
    209,130.71x = 313,697.11 × 51,359.21
  4. Step 4: Simplify right side
    209,130.71x = 16,111,235,748.88
  5. Step 5: Solve for x
    x = 16,111,235,748.88/209,130.71
  6. Step 6: Final answer
    x = 77,039.07

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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.