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Finding the Fourth Proportional to 122,498.08, 169,052.15 and 83,817.04

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Solution

The fourth proportional to 122,498.08, 169,052.15 and 83,817.04 is: 115,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,498.08 : 169,052.15 = 83,817.04 : x
  2. Step 2: Convert to fraction form
    122,498.08/169,052.15 = 83,817.04/x
  3. Step 3: Cross multiply
    122,498.08x = 169,052.15 × 83,817.04
  4. Step 4: Simplify right side
    122,498.08x = 14,169,450,818.64
  5. Step 5: Solve for x
    x = 14,169,450,818.64/122,498.08
  6. Step 6: Final answer
    x = 115,670.80

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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.