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Finding the Fourth Proportional to 56,876.48, 78,488.16 and 33,005.12

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Solution

The fourth proportional to 56,876.48, 78,488.16 and 33,005.12 is: 45,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,876.48 : 78,488.16 = 33,005.12 : x
  2. Step 2: Convert to fraction form
    56,876.48/78,488.16 = 33,005.12/x
  3. Step 3: Cross multiply
    56,876.48x = 78,488.16 × 33,005.12
  4. Step 4: Simplify right side
    56,876.48x = 2,590,511,139.38
  5. Step 5: Solve for x
    x = 2,590,511,139.38/56,876.48
  6. Step 6: Final answer
    x = 45,546.26

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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.