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Finding the Fourth Proportional to 155,177, 232,779 and 42,857.36

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Solution

The fourth proportional to 155,177, 232,779 and 42,857.36 is: 64,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,177 : 232,779 = 42,857.36 : x
  2. Step 2: Convert to fraction form
    155,177/232,779 = 42,857.36/x
  3. Step 3: Cross multiply
    155,177x = 232,779 × 42,857.36
  4. Step 4: Simplify right side
    155,177x = 9,976,293,403.44
  5. Step 5: Solve for x
    x = 9,976,293,403.44/155,177
  6. Step 6: Final answer
    x = 64,289.77

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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.