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Finding the Fourth Proportional to 128,322.83, 192,484.35 and 34,828.58

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Solution

The fourth proportional to 128,322.83, 192,484.35 and 34,828.58 is: 52,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,322.83 : 192,484.35 = 34,828.58 : x
  2. Step 2: Convert to fraction form
    128,322.83/192,484.35 = 34,828.58/x
  3. Step 3: Cross multiply
    128,322.83x = 192,484.35 × 34,828.58
  4. Step 4: Simplify right side
    128,322.83x = 6,703,957,063.93
  5. Step 5: Solve for x
    x = 6,703,957,063.93/128,322.83
  6. Step 6: Final answer
    x = 52,242.90

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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.