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Finding the Fourth Proportional to 119,434.30, 164,805.51 and 81,763.90

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Solution

The fourth proportional to 119,434.30, 164,805.51 and 81,763.90 is: 112,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,434.30 : 164,805.51 = 81,763.90 : x
  2. Step 2: Convert to fraction form
    119,434.30/164,805.51 = 81,763.90/x
  3. Step 3: Cross multiply
    119,434.30x = 164,805.51 × 81,763.90
  4. Step 4: Simplify right side
    119,434.30x = 13,475,141,239.09
  5. Step 5: Solve for x
    x = 13,475,141,239.09/119,434.30
  6. Step 6: Final answer
    x = 112,824.72

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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.