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Finding the Fourth Proportional to 145,878, 201,311.76 and 78,810

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Solution

The fourth proportional to 145,878, 201,311.76 and 78,810 is: 108,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,878 : 201,311.76 = 78,810 : x
  2. Step 2: Convert to fraction form
    145,878/201,311.76 = 78,810/x
  3. Step 3: Cross multiply
    145,878x = 201,311.76 × 78,810
  4. Step 4: Simplify right side
    145,878x = 15,865,379,805.60
  5. Step 5: Solve for x
    x = 15,865,379,805.60/145,878
  6. Step 6: Final answer
    x = 108,757.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.