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Finding the Fourth Proportional to 100,971.46, 139,340.73 and 58,554.64

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Solution

The fourth proportional to 100,971.46, 139,340.73 and 58,554.64 is: 80,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.46 : 139,340.73 = 58,554.64 : x
  2. Step 2: Convert to fraction form
    100,971.46/139,340.73 = 58,554.64/x
  3. Step 3: Cross multiply
    100,971.46x = 139,340.73 × 58,554.64
  4. Step 4: Simplify right side
    100,971.46x = 8,159,046,282.49
  5. Step 5: Solve for x
    x = 8,159,046,282.49/100,971.46
  6. Step 6: Final answer
    x = 80,805.47

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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.