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Finding the Fourth Proportional to 155,273.72, 232,959.78 and 55,431.77

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Solution

The fourth proportional to 155,273.72, 232,959.78 and 55,431.77 is: 83,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,273.72 : 232,959.78 = 55,431.77 : x
  2. Step 2: Convert to fraction form
    155,273.72/232,959.78 = 55,431.77/x
  3. Step 3: Cross multiply
    155,273.72x = 232,959.78 × 55,431.77
  4. Step 4: Simplify right side
    155,273.72x = 12,913,371,779.41
  5. Step 5: Solve for x
    x = 12,913,371,779.41/155,273.72
  6. Step 6: Final answer
    x = 83,165.21

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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.