Home / 77,878.20-116,846.10-31,164.60

Finding the Fourth Proportional to 77,878.20, 116,846.10 and 31,164.60

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Solution

The fourth proportional to 77,878.20, 116,846.10 and 31,164.60 is: 46,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878.20 : 116,846.10 = 31,164.60 : x
  2. Step 2: Convert to fraction form
    77,878.20/116,846.10 = 31,164.60/x
  3. Step 3: Cross multiply
    77,878.20x = 116,846.10 × 31,164.60
  4. Step 4: Simplify right side
    77,878.20x = 3,641,461,968.06
  5. Step 5: Solve for x
    x = 3,641,461,968.06/77,878.20
  6. Step 6: Final answer
    x = 46,758.42

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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.