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Finding the Fourth Proportional to 208,779.71, 313,166.83 and 51,009.53

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Solution

The fourth proportional to 208,779.71, 313,166.83 and 51,009.53 is: 76,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,779.71 : 313,166.83 = 51,009.53 : x
  2. Step 2: Convert to fraction form
    208,779.71/313,166.83 = 51,009.53/x
  3. Step 3: Cross multiply
    208,779.71x = 313,166.83 × 51,009.53
  4. Step 4: Simplify right side
    208,779.71x = 15,974,493,117.20
  5. Step 5: Solve for x
    x = 15,974,493,117.20/208,779.71
  6. Step 6: Final answer
    x = 76,513.63

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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.