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Finding the Fourth Proportional to 100,738.61, 139,003.86 and 58,288.94

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Solution

The fourth proportional to 100,738.61, 139,003.86 and 58,288.94 is: 80,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,738.61 : 139,003.86 = 58,288.94 : x
  2. Step 2: Convert to fraction form
    100,738.61/139,003.86 = 58,288.94/x
  3. Step 3: Cross multiply
    100,738.61x = 139,003.86 × 58,288.94
  4. Step 4: Simplify right side
    100,738.61x = 8,102,387,655.31
  5. Step 5: Solve for x
    x = 8,102,387,655.31/100,738.61
  6. Step 6: Final answer
    x = 80,429.81

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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.