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Finding the Fourth Proportional to 55,164, 76,126.32 and 30,013.68

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Solution

The fourth proportional to 55,164, 76,126.32 and 30,013.68 is: 41,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,164 : 76,126.32 = 30,013.68 : x
  2. Step 2: Convert to fraction form
    55,164/76,126.32 = 30,013.68/x
  3. Step 3: Cross multiply
    55,164x = 76,126.32 × 30,013.68
  4. Step 4: Simplify right side
    55,164x = 2,284,831,008.06
  5. Step 5: Solve for x
    x = 2,284,831,008.06/55,164
  6. Step 6: Final answer
    x = 41,418.88

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1.5x scale

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.