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Finding the Fourth Proportional to 86,042, 118,686.48 and 54,155.54

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Solution

The fourth proportional to 86,042, 118,686.48 and 54,155.54 is: 74,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042 : 118,686.48 = 54,155.54 : x
  2. Step 2: Convert to fraction form
    86,042/118,686.48 = 54,155.54/x
  3. Step 3: Cross multiply
    86,042x = 118,686.48 × 54,155.54
  4. Step 4: Simplify right side
    86,042x = 6,427,530,415.10
  5. Step 5: Solve for x
    x = 6,427,530,415.10/86,042
  6. Step 6: Final answer
    x = 74,702.24

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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.