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Finding the Fourth Proportional to 145,671.72, 201,024.12 and 82,008.12

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Solution

The fourth proportional to 145,671.72, 201,024.12 and 82,008.12 is: 113,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,671.72 : 201,024.12 = 82,008.12 : x
  2. Step 2: Convert to fraction form
    145,671.72/201,024.12 = 82,008.12/x
  3. Step 3: Cross multiply
    145,671.72x = 201,024.12 × 82,008.12
  4. Step 4: Simplify right side
    145,671.72x = 16,485,610,155.85
  5. Step 5: Solve for x
    x = 16,485,610,155.85/145,671.72
  6. Step 6: Final answer
    x = 113,169.60

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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.