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Finding the Fourth Proportional to 54,791.60, 75,543.88 and 45,730

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Solution

The fourth proportional to 54,791.60, 75,543.88 and 45,730 is: 63,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,791.60 : 75,543.88 = 45,730 : x
  2. Step 2: Convert to fraction form
    54,791.60/75,543.88 = 45,730/x
  3. Step 3: Cross multiply
    54,791.60x = 75,543.88 × 45,730
  4. Step 4: Simplify right side
    54,791.60x = 3,454,621,632.40
  5. Step 5: Solve for x
    x = 3,454,621,632.40/54,791.60
  6. Step 6: Final answer
    x = 63,050.21

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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.