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Finding the Fourth Proportional to 119,605.60, 165,025.92 and 77,113

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Solution

The fourth proportional to 119,605.60, 165,025.92 and 77,113 is: 106,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,605.60 : 165,025.92 = 77,113 : x
  2. Step 2: Convert to fraction form
    119,605.60/165,025.92 = 77,113/x
  3. Step 3: Cross multiply
    119,605.60x = 165,025.92 × 77,113
  4. Step 4: Simplify right side
    119,605.60x = 12,725,643,768.96
  5. Step 5: Solve for x
    x = 12,725,643,768.96/119,605.60
  6. Step 6: Final answer
    x = 106,396.72

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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.