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Finding the Fourth Proportional to 76,556, 114,834.48 and 21,152.48

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Solution

The fourth proportional to 76,556, 114,834.48 and 21,152.48 is: 31,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,556 : 114,834.48 = 21,152.48 : x
  2. Step 2: Convert to fraction form
    76,556/114,834.48 = 21,152.48/x
  3. Step 3: Cross multiply
    76,556x = 114,834.48 × 21,152.48
  4. Step 4: Simplify right side
    76,556x = 2,429,034,041.51
  5. Step 5: Solve for x
    x = 2,429,034,041.51/76,556
  6. Step 6: Final answer
    x = 31,728.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.