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Finding the Fourth Proportional to 103,965.78, 143,472.58 and 58,643.63

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Solution

The fourth proportional to 103,965.78, 143,472.58 and 58,643.63 is: 80,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,965.78 : 143,472.58 = 58,643.63 : x
  2. Step 2: Convert to fraction form
    103,965.78/143,472.58 = 58,643.63/x
  3. Step 3: Cross multiply
    103,965.78x = 143,472.58 × 58,643.63
  4. Step 4: Simplify right side
    103,965.78x = 8,413,752,896.67
  5. Step 5: Solve for x
    x = 8,413,752,896.67/103,965.78
  6. Step 6: Final answer
    x = 80,928.10

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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.