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Finding the Fourth Proportional to 45,780, 63,133.20 and 29,876.64

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Solution

The fourth proportional to 45,780, 63,133.20 and 29,876.64 is: 41,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,780 : 63,133.20 = 29,876.64 : x
  2. Step 2: Convert to fraction form
    45,780/63,133.20 = 29,876.64/x
  3. Step 3: Cross multiply
    45,780x = 63,133.20 × 29,876.64
  4. Step 4: Simplify right side
    45,780x = 1,886,207,888.45
  5. Step 5: Solve for x
    x = 1,886,207,888.45/45,780
  6. Step 6: Final answer
    x = 41,201.57

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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.