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Finding the Fourth Proportional to 49,941.84, 74,978.28 and 38,919.12

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Solution

The fourth proportional to 49,941.84, 74,978.28 and 38,919.12 is: 58,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,941.84 : 74,978.28 = 38,919.12 : x
  2. Step 2: Convert to fraction form
    49,941.84/74,978.28 = 38,919.12/x
  3. Step 3: Cross multiply
    49,941.84x = 74,978.28 × 38,919.12
  4. Step 4: Simplify right side
    49,941.84x = 2,918,088,676.71
  5. Step 5: Solve for x
    x = 2,918,088,676.71/49,941.84
  6. Step 6: Final answer
    x = 58,429.74

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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.