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Finding the Fourth Proportional to 209,480.87, 314,217.04 and 51,710.69

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Solution

The fourth proportional to 209,480.87, 314,217.04 and 51,710.69 is: 77,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,480.87 : 314,217.04 = 51,710.69 : x
  2. Step 2: Convert to fraction form
    209,480.87/314,217.04 = 51,710.69/x
  3. Step 3: Cross multiply
    209,480.87x = 314,217.04 × 51,710.69
  4. Step 4: Simplify right side
    209,480.87x = 16,248,379,948.16
  5. Step 5: Solve for x
    x = 16,248,379,948.16/209,480.87
  6. Step 6: Final answer
    x = 77,564.98

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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.