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Finding the Fourth Proportional to 85,329.78, 128,051.80 and 35,409.92

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Solution

The fourth proportional to 85,329.78, 128,051.80 and 35,409.92 is: 53,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.78 : 128,051.80 = 35,409.92 : x
  2. Step 2: Convert to fraction form
    85,329.78/128,051.80 = 35,409.92/x
  3. Step 3: Cross multiply
    85,329.78x = 128,051.80 × 35,409.92
  4. Step 4: Simplify right side
    85,329.78x = 4,534,303,993.86
  5. Step 5: Solve for x
    x = 4,534,303,993.86/85,329.78
  6. Step 6: Final answer
    x = 53,138.59

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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.