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Finding the Fourth Proportional to 49,892.79, 74,829.81 and 21,434.76

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Solution

The fourth proportional to 49,892.79, 74,829.81 and 21,434.76 is: 32,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892.79 : 74,829.81 = 21,434.76 : x
  2. Step 2: Convert to fraction form
    49,892.79/74,829.81 = 21,434.76/x
  3. Step 3: Cross multiply
    49,892.79x = 74,829.81 × 21,434.76
  4. Step 4: Simplify right side
    49,892.79x = 1,603,959,018.20
  5. Step 5: Solve for x
    x = 1,603,959,018.20/49,892.79
  6. Step 6: Final answer
    x = 32,148.11

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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.