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Finding the Fourth Proportional to 119,790.55, 165,364.10 and 77,369.77

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Solution

The fourth proportional to 119,790.55, 165,364.10 and 77,369.77 is: 106,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,790.55 : 165,364.10 = 77,369.77 : x
  2. Step 2: Convert to fraction form
    119,790.55/165,364.10 = 77,369.77/x
  3. Step 3: Cross multiply
    119,790.55x = 165,364.10 × 77,369.77
  4. Step 4: Simplify right side
    119,790.55x = 12,794,182,383.26
  5. Step 5: Solve for x
    x = 12,794,182,383.26/119,790.55
  6. Step 6: Final answer
    x = 106,804.61

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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.