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Finding the Fourth Proportional to 74,892.40, 112,307.36 and 30,489

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Solution

The fourth proportional to 74,892.40, 112,307.36 and 30,489 is: 45,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,892.40 : 112,307.36 = 30,489 : x
  2. Step 2: Convert to fraction form
    74,892.40/112,307.36 = 30,489/x
  3. Step 3: Cross multiply
    74,892.40x = 112,307.36 × 30,489
  4. Step 4: Simplify right side
    74,892.40x = 3,424,139,099.04
  5. Step 5: Solve for x
    x = 3,424,139,099.04/74,892.40
  6. Step 6: Final answer
    x = 45,720.78

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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.