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Finding the Fourth Proportional to 54,127.32, 74,699.20 and 30,255

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Solution

The fourth proportional to 54,127.32, 74,699.20 and 30,255 is: 41,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,127.32 : 74,699.20 = 30,255 : x
  2. Step 2: Convert to fraction form
    54,127.32/74,699.20 = 30,255/x
  3. Step 3: Cross multiply
    54,127.32x = 74,699.20 × 30,255
  4. Step 4: Simplify right side
    54,127.32x = 2,260,024,296
  5. Step 5: Solve for x
    x = 2,260,024,296/54,127.32
  6. Step 6: Final answer
    x = 41,753.86

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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.