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Finding the Fourth Proportional to 119,702.63, 165,201.30 and 89,435.43

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Solution

The fourth proportional to 119,702.63, 165,201.30 and 89,435.43 is: 123,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,702.63 : 165,201.30 = 89,435.43 : x
  2. Step 2: Convert to fraction form
    119,702.63/165,201.30 = 89,435.43/x
  3. Step 3: Cross multiply
    119,702.63x = 165,201.30 × 89,435.43
  4. Step 4: Simplify right side
    119,702.63x = 14,774,849,302.06
  5. Step 5: Solve for x
    x = 14,774,849,302.06/119,702.63
  6. Step 6: Final answer
    x = 123,429.61

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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.