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Finding the Fourth Proportional to 122,865.29, 169,606.40 and 82,602.39

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Solution

The fourth proportional to 122,865.29, 169,606.40 and 82,602.39 is: 114,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,865.29 : 169,606.40 = 82,602.39 : x
  2. Step 2: Convert to fraction form
    122,865.29/169,606.40 = 82,602.39/x
  3. Step 3: Cross multiply
    122,865.29x = 169,606.40 × 82,602.39
  4. Step 4: Simplify right side
    122,865.29x = 14,009,893,999.30
  5. Step 5: Solve for x
    x = 14,009,893,999.30/122,865.29
  6. Step 6: Final answer
    x = 114,026.46

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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.