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Finding the Fourth Proportional to 118,486.94, 177,779.81 and 51,974.80

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Solution

The fourth proportional to 118,486.94, 177,779.81 and 51,974.80 is: 77,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,486.94 : 177,779.81 = 51,974.80 : x
  2. Step 2: Convert to fraction form
    118,486.94/177,779.81 = 51,974.80/x
  3. Step 3: Cross multiply
    118,486.94x = 177,779.81 × 51,974.80
  4. Step 4: Simplify right side
    118,486.94x = 9,240,069,754.28
  5. Step 5: Solve for x
    x = 9,240,069,754.28/118,486.94
  6. Step 6: Final answer
    x = 77,983.87

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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.