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Finding the Fourth Proportional to 76,741.47, 115,128.68 and 43,477.47

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Solution

The fourth proportional to 76,741.47, 115,128.68 and 43,477.47 is: 65,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,741.47 : 115,128.68 = 43,477.47 : x
  2. Step 2: Convert to fraction form
    76,741.47/115,128.68 = 43,477.47/x
  3. Step 3: Cross multiply
    76,741.47x = 115,128.68 × 43,477.47
  4. Step 4: Simplify right side
    76,741.47x = 5,005,503,730.84
  5. Step 5: Solve for x
    x = 5,005,503,730.84/76,741.47
  6. Step 6: Final answer
    x = 65,225.54

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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.