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Finding the Fourth Proportional to 122,911.68, 169,670.40 and 82,648.80

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Solution

The fourth proportional to 122,911.68, 169,670.40 and 82,648.80 is: 114,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,911.68 : 169,670.40 = 82,648.80 : x
  2. Step 2: Convert to fraction form
    122,911.68/169,670.40 = 82,648.80/x
  3. Step 3: Cross multiply
    122,911.68x = 169,670.40 × 82,648.80
  4. Step 4: Simplify right side
    122,911.68x = 14,023,054,955.52
  5. Step 5: Solve for x
    x = 14,023,054,955.52/122,911.68
  6. Step 6: Final answer
    x = 114,090.50

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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.