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Finding the Fourth Proportional to 155,963.61, 233,963.70 and 54,730.75

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Solution

The fourth proportional to 155,963.61, 233,963.70 and 54,730.75 is: 82,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,963.61 : 233,963.70 = 54,730.75 : x
  2. Step 2: Convert to fraction form
    155,963.61/233,963.70 = 54,730.75/x
  3. Step 3: Cross multiply
    155,963.61x = 233,963.70 × 54,730.75
  4. Step 4: Simplify right side
    155,963.61x = 12,805,008,773.78
  5. Step 5: Solve for x
    x = 12,805,008,773.78/155,963.61
  6. Step 6: Final answer
    x = 82,102.54

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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.