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Finding the Fourth Proportional to 53,101, 73,279.38 and 30,745

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Solution

The fourth proportional to 53,101, 73,279.38 and 30,745 is: 42,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,101 : 73,279.38 = 30,745 : x
  2. Step 2: Convert to fraction form
    53,101/73,279.38 = 30,745/x
  3. Step 3: Cross multiply
    53,101x = 73,279.38 × 30,745
  4. Step 4: Simplify right side
    53,101x = 2,252,974,538.10
  5. Step 5: Solve for x
    x = 2,252,974,538.10/53,101
  6. Step 6: Final answer
    x = 42,428.10

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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.