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Finding the Fourth Proportional to 100,501.94, 138,682.86 and 58,059.56

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Solution

The fourth proportional to 100,501.94, 138,682.86 and 58,059.56 is: 80,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,501.94 : 138,682.86 = 58,059.56 : x
  2. Step 2: Convert to fraction form
    100,501.94/138,682.86 = 58,059.56/x
  3. Step 3: Cross multiply
    100,501.94x = 138,682.86 × 58,059.56
  4. Step 4: Simplify right side
    100,501.94x = 8,051,865,831.14
  5. Step 5: Solve for x
    x = 8,051,865,831.14/100,501.94
  6. Step 6: Final answer
    x = 80,116.52

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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.