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Finding the Fourth Proportional to 145,234.57, 200,419.70 and 80,702.13

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Solution

The fourth proportional to 145,234.57, 200,419.70 and 80,702.13 is: 111,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,234.57 : 200,419.70 = 80,702.13 : x
  2. Step 2: Convert to fraction form
    145,234.57/200,419.70 = 80,702.13/x
  3. Step 3: Cross multiply
    145,234.57x = 200,419.70 × 80,702.13
  4. Step 4: Simplify right side
    145,234.57x = 16,174,296,683.96
  5. Step 5: Solve for x
    x = 16,174,296,683.96/145,234.57
  6. Step 6: Final answer
    x = 111,366.71

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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.