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Finding the Fourth Proportional to 145,580.32, 200,884.56 and 81,940

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Solution

The fourth proportional to 145,580.32, 200,884.56 and 81,940 is: 113,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,580.32 : 200,884.56 = 81,940 : x
  2. Step 2: Convert to fraction form
    145,580.32/200,884.56 = 81,940/x
  3. Step 3: Cross multiply
    145,580.32x = 200,884.56 × 81,940
  4. Step 4: Simplify right side
    145,580.32x = 16,460,480,846.40
  5. Step 5: Solve for x
    x = 16,460,480,846.40/145,580.32
  6. Step 6: Final answer
    x = 113,068.04

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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.