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Finding the Fourth Proportional to 42,477.64, 63,676.64 and 14,378.03

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Solution

The fourth proportional to 42,477.64, 63,676.64 and 14,378.03 is: 21,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.64 : 63,676.64 = 14,378.03 : x
  2. Step 2: Convert to fraction form
    42,477.64/63,676.64 = 14,378.03/x
  3. Step 3: Cross multiply
    42,477.64x = 63,676.64 × 14,378.03
  4. Step 4: Simplify right side
    42,477.64x = 915,544,640.22
  5. Step 5: Solve for x
    x = 915,544,640.22/42,477.64
  6. Step 6: Final answer
    x = 21,553.57

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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.