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Finding the Fourth Proportional to 55,165.50, 76,129.61 and 30,015

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Solution

The fourth proportional to 55,165.50, 76,129.61 and 30,015 is: 41,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165.50 : 76,129.61 = 30,015 : x
  2. Step 2: Convert to fraction form
    55,165.50/76,129.61 = 30,015/x
  3. Step 3: Cross multiply
    55,165.50x = 76,129.61 × 30,015
  4. Step 4: Simplify right side
    55,165.50x = 2,285,030,094.08
  5. Step 5: Solve for x
    x = 2,285,030,094.08/55,165.50
  6. Step 6: Final answer
    x = 41,421.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.