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Finding the Fourth Proportional to 51,940.56, 77,980.02 and 35,130.06

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Solution

The fourth proportional to 51,940.56, 77,980.02 and 35,130.06 is: 52,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,940.56 : 77,980.02 = 35,130.06 : x
  2. Step 2: Convert to fraction form
    51,940.56/77,980.02 = 35,130.06/x
  3. Step 3: Cross multiply
    51,940.56x = 77,980.02 × 35,130.06
  4. Step 4: Simplify right side
    51,940.56x = 2,739,442,781.40
  5. Step 5: Solve for x
    x = 2,739,442,781.40/51,940.56
  6. Step 6: Final answer
    x = 52,741.88

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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.