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Finding the Fourth Proportional to 56,478.51, 77,907.96 and 35,220.87

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Solution

The fourth proportional to 56,478.51, 77,907.96 and 35,220.87 is: 48,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,478.51 : 77,907.96 = 35,220.87 : x
  2. Step 2: Convert to fraction form
    56,478.51/77,907.96 = 35,220.87/x
  3. Step 3: Cross multiply
    56,478.51x = 77,907.96 × 35,220.87
  4. Step 4: Simplify right side
    56,478.51x = 2,743,986,131.13
  5. Step 5: Solve for x
    x = 2,743,986,131.13/56,478.51
  6. Step 6: Final answer
    x = 48,584.61

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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.