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Finding the Fourth Proportional to 85,840, 118,433.12 and 54,040.64

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Solution

The fourth proportional to 85,840, 118,433.12 and 54,040.64 is: 74,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,840 : 118,433.12 = 54,040.64 : x
  2. Step 2: Convert to fraction form
    85,840/118,433.12 = 54,040.64/x
  3. Step 3: Cross multiply
    85,840x = 118,433.12 × 54,040.64
  4. Step 4: Simplify right side
    85,840x = 6,400,201,602.00
  5. Step 5: Solve for x
    x = 6,400,201,602.00/85,840
  6. Step 6: Final answer
    x = 74,559.66

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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.