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Finding the Fourth Proportional to 76,430.55, 114,619.89 and 29,034.21

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Solution

The fourth proportional to 76,430.55, 114,619.89 and 29,034.21 is: 43,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430.55 : 114,619.89 = 29,034.21 : x
  2. Step 2: Convert to fraction form
    76,430.55/114,619.89 = 29,034.21/x
  3. Step 3: Cross multiply
    76,430.55x = 114,619.89 × 29,034.21
  4. Step 4: Simplify right side
    76,430.55x = 3,327,897,704.28
  5. Step 5: Solve for x
    x = 3,327,897,704.28/76,430.55
  6. Step 6: Final answer
    x = 43,541.46

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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.