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Finding the Fourth Proportional to 55,978.12, 77,246.58 and 33,617.80

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Solution

The fourth proportional to 55,978.12, 77,246.58 and 33,617.80 is: 46,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.12 : 77,246.58 = 33,617.80 : x
  2. Step 2: Convert to fraction form
    55,978.12/77,246.58 = 33,617.80/x
  3. Step 3: Cross multiply
    55,978.12x = 77,246.58 × 33,617.80
  4. Step 4: Simplify right side
    55,978.12x = 2,596,860,077.12
  5. Step 5: Solve for x
    x = 2,596,860,077.12/55,978.12
  6. Step 6: Final answer
    x = 46,390.63

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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.