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Finding the Fourth Proportional to 100,775.94, 139,071.30 and 55,452.80

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Solution

The fourth proportional to 100,775.94, 139,071.30 and 55,452.80 is: 76,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775.94 : 139,071.30 = 55,452.80 : x
  2. Step 2: Convert to fraction form
    100,775.94/139,071.30 = 55,452.80/x
  3. Step 3: Cross multiply
    100,775.94x = 139,071.30 × 55,452.80
  4. Step 4: Simplify right side
    100,775.94x = 7,711,892,289.28
  5. Step 5: Solve for x
    x = 7,711,892,289.28/100,775.94
  6. Step 6: Final answer
    x = 76,525.13

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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.