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Finding the Fourth Proportional to 85,781.53, 118,379.88 and 48,055.78

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Solution

The fourth proportional to 85,781.53, 118,379.88 and 48,055.78 is: 66,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,781.53 : 118,379.88 = 48,055.78 : x
  2. Step 2: Convert to fraction form
    85,781.53/118,379.88 = 48,055.78/x
  3. Step 3: Cross multiply
    85,781.53x = 118,379.88 × 48,055.78
  4. Step 4: Simplify right side
    85,781.53x = 5,688,837,617.68
  5. Step 5: Solve for x
    x = 5,688,837,617.68/85,781.53
  6. Step 6: Final answer
    x = 66,317.74

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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.