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Finding the Fourth Proportional to 103,942.80, 143,414.42 and 63,641.86

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Solution

The fourth proportional to 103,942.80, 143,414.42 and 63,641.86 is: 87,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,942.80 : 143,414.42 = 63,641.86 : x
  2. Step 2: Convert to fraction form
    103,942.80/143,414.42 = 63,641.86/x
  3. Step 3: Cross multiply
    103,942.80x = 143,414.42 × 63,641.86
  4. Step 4: Simplify right side
    103,942.80x = 9,127,159,762.88
  5. Step 5: Solve for x
    x = 9,127,159,762.88/103,942.80
  6. Step 6: Final answer
    x = 87,809.45

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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.