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Finding the Fourth Proportional to 116,141.52, 160,324.32 and 78,466.80

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Solution

The fourth proportional to 116,141.52, 160,324.32 and 78,466.80 is: 108,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,141.52 : 160,324.32 = 78,466.80 : x
  2. Step 2: Convert to fraction form
    116,141.52/160,324.32 = 78,466.80/x
  3. Step 3: Cross multiply
    116,141.52x = 160,324.32 × 78,466.80
  4. Step 4: Simplify right side
    116,141.52x = 12,580,136,352.58
  5. Step 5: Solve for x
    x = 12,580,136,352.58/116,141.52
  6. Step 6: Final answer
    x = 108,317.30

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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.