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Finding the Fourth Proportional to 100,896.76, 139,238.49 and 55,574.93

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Solution

The fourth proportional to 100,896.76, 139,238.49 and 55,574.93 is: 76,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.76 : 139,238.49 = 55,574.93 : x
  2. Step 2: Convert to fraction form
    100,896.76/139,238.49 = 55,574.93/x
  3. Step 3: Cross multiply
    100,896.76x = 139,238.49 × 55,574.93
  4. Step 4: Simplify right side
    100,896.76x = 7,738,169,335.06
  5. Step 5: Solve for x
    x = 7,738,169,335.06/100,896.76
  6. Step 6: Final answer
    x = 76,693.93

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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.