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Finding the Fourth Proportional to 81,339.60, 121,779.36 and 51,684

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Solution

The fourth proportional to 81,339.60, 121,779.36 and 51,684 is: 77,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,339.60 : 121,779.36 = 51,684 : x
  2. Step 2: Convert to fraction form
    81,339.60/121,779.36 = 51,684/x
  3. Step 3: Cross multiply
    81,339.60x = 121,779.36 × 51,684
  4. Step 4: Simplify right side
    81,339.60x = 6,294,044,442.24
  5. Step 5: Solve for x
    x = 6,294,044,442.24/81,339.60
  6. Step 6: Final answer
    x = 77,379.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.