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Finding the Fourth Proportional to 209,129.71, 313,695.61 and 51,358.21

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Solution

The fourth proportional to 209,129.71, 313,695.61 and 51,358.21 is: 77,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,129.71 : 313,695.61 = 51,358.21 : x
  2. Step 2: Convert to fraction form
    209,129.71/313,695.61 = 51,358.21/x
  3. Step 3: Cross multiply
    209,129.71x = 313,695.61 × 51,358.21
  4. Step 4: Simplify right side
    209,129.71x = 16,110,843,317.58
  5. Step 5: Solve for x
    x = 16,110,843,317.58/209,129.71
  6. Step 6: Final answer
    x = 77,037.57

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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.