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Finding the Fourth Proportional to 77,808.94, 116,742.83 and 30,457.87

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Solution

The fourth proportional to 77,808.94, 116,742.83 and 30,457.87 is: 45,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808.94 : 116,742.83 = 30,457.87 : x
  2. Step 2: Convert to fraction form
    77,808.94/116,742.83 = 30,457.87/x
  3. Step 3: Cross multiply
    77,808.94x = 116,742.83 × 30,457.87
  4. Step 4: Simplify right side
    77,808.94x = 3,555,737,495.43
  5. Step 5: Solve for x
    x = 3,555,737,495.43/77,808.94
  6. Step 6: Final answer
    x = 45,698.32

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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.