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Finding the Fourth Proportional to 100,730.56, 139,003.90 and 55,405.67

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Solution

The fourth proportional to 100,730.56, 139,003.90 and 55,405.67 is: 76,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,730.56 : 139,003.90 = 55,405.67 : x
  2. Step 2: Convert to fraction form
    100,730.56/139,003.90 = 55,405.67/x
  3. Step 3: Cross multiply
    100,730.56x = 139,003.90 × 55,405.67
  4. Step 4: Simplify right side
    100,730.56x = 7,701,604,160.48
  5. Step 5: Solve for x
    x = 7,701,604,160.48/100,730.56
  6. Step 6: Final answer
    x = 76,457.47

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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.