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Finding the Fourth Proportional to 145,549.78, 200,856.72 and 81,887.68

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Solution

The fourth proportional to 145,549.78, 200,856.72 and 81,887.68 is: 113,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,549.78 : 200,856.72 = 81,887.68 : x
  2. Step 2: Convert to fraction form
    145,549.78/200,856.72 = 81,887.68/x
  3. Step 3: Cross multiply
    145,549.78x = 200,856.72 × 81,887.68
  4. Step 4: Simplify right side
    145,549.78x = 16,447,690,813.21
  5. Step 5: Solve for x
    x = 16,447,690,813.21/145,549.78
  6. Step 6: Final answer
    x = 113,003.89

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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.