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Finding the Fourth Proportional to 103,969.87, 143,478.43 and 56,223.23

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Solution

The fourth proportional to 103,969.87, 143,478.43 and 56,223.23 is: 77,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,969.87 : 143,478.43 = 56,223.23 : x
  2. Step 2: Convert to fraction form
    103,969.87/143,478.43 = 56,223.23/x
  3. Step 3: Cross multiply
    103,969.87x = 143,478.43 × 56,223.23
  4. Step 4: Simplify right side
    103,969.87x = 8,066,819,911.98
  5. Step 5: Solve for x
    x = 8,066,819,911.98/103,969.87
  6. Step 6: Final answer
    x = 77,588.06

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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.