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Finding the Fourth Proportional to 76,062, 114,012.48 and 28,656.48

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Solution

The fourth proportional to 76,062, 114,012.48 and 28,656.48 is: 42,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,062 : 114,012.48 = 28,656.48 : x
  2. Step 2: Convert to fraction form
    76,062/114,012.48 = 28,656.48/x
  3. Step 3: Cross multiply
    76,062x = 114,012.48 × 28,656.48
  4. Step 4: Simplify right side
    76,062x = 3,267,196,352.87
  5. Step 5: Solve for x
    x = 3,267,196,352.87/76,062
  6. Step 6: Final answer
    x = 42,954.38

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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.