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Finding the Fourth Proportional to 104,106.94, 143,668.72 and 56,361.30

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Solution

The fourth proportional to 104,106.94, 143,668.72 and 56,361.30 is: 77,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,106.94 : 143,668.72 = 56,361.30 : x
  2. Step 2: Convert to fraction form
    104,106.94/143,668.72 = 56,361.30/x
  3. Step 3: Cross multiply
    104,106.94x = 143,668.72 × 56,361.30
  4. Step 4: Simplify right side
    104,106.94x = 8,097,355,828.54
  5. Step 5: Solve for x
    x = 8,097,355,828.54/104,106.94
  6. Step 6: Final answer
    x = 77,779.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.