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Finding the Fourth Proportional to 76,530.76, 114,795.98 and 20,370.88

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Solution

The fourth proportional to 76,530.76, 114,795.98 and 20,370.88 is: 30,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530.76 : 114,795.98 = 20,370.88 : x
  2. Step 2: Convert to fraction form
    76,530.76/114,795.98 = 20,370.88/x
  3. Step 3: Cross multiply
    76,530.76x = 114,795.98 × 20,370.88
  4. Step 4: Simplify right side
    76,530.76x = 2,338,495,133.06
  5. Step 5: Solve for x
    x = 2,338,495,133.06/76,530.76
  6. Step 6: Final answer
    x = 30,556.28

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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.