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Finding the Fourth Proportional to 112,922.35, 169,123.47 and 65,419.51

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Solution

The fourth proportional to 112,922.35, 169,123.47 and 65,419.51 is: 97,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,922.35 : 169,123.47 = 65,419.51 : x
  2. Step 2: Convert to fraction form
    112,922.35/169,123.47 = 65,419.51/x
  3. Step 3: Cross multiply
    112,922.35x = 169,123.47 × 65,419.51
  4. Step 4: Simplify right side
    112,922.35x = 11,063,974,959.71
  5. Step 5: Solve for x
    x = 11,063,974,959.71/112,922.35
  6. Step 6: Final answer
    x = 97,978.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.