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Finding the Fourth Proportional to 145,475.50, 200,754.88 and 81,813.76

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Solution

The fourth proportional to 145,475.50, 200,754.88 and 81,813.76 is: 112,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,475.50 : 200,754.88 = 81,813.76 : x
  2. Step 2: Convert to fraction form
    145,475.50/200,754.88 = 81,813.76/x
  3. Step 3: Cross multiply
    145,475.50x = 200,754.88 × 81,813.76
  4. Step 4: Simplify right side
    145,475.50x = 16,424,511,571.15
  5. Step 5: Solve for x
    x = 16,424,511,571.15/145,475.50
  6. Step 6: Final answer
    x = 112,902.25

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1.5x scale

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.