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Finding the Fourth Proportional to 145,683.40, 201,042.90 and 82,041.70

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Solution

The fourth proportional to 145,683.40, 201,042.90 and 82,041.70 is: 113,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,683.40 : 201,042.90 = 82,041.70 : x
  2. Step 2: Convert to fraction form
    145,683.40/201,042.90 = 82,041.70/x
  3. Step 3: Cross multiply
    145,683.40x = 201,042.90 × 82,041.70
  4. Step 4: Simplify right side
    145,683.40x = 16,493,901,288.93
  5. Step 5: Solve for x
    x = 16,493,901,288.93/145,683.40
  6. Step 6: Final answer
    x = 113,217.44

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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.