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Finding the Fourth Proportional to 145,547.76, 200,839.84 and 81,884.48

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Solution

The fourth proportional to 145,547.76, 200,839.84 and 81,884.48 is: 112,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,547.76 : 200,839.84 = 81,884.48 : x
  2. Step 2: Convert to fraction form
    145,547.76/200,839.84 = 81,884.48/x
  3. Step 3: Cross multiply
    145,547.76x = 200,839.84 × 81,884.48
  4. Step 4: Simplify right side
    145,547.76x = 16,445,665,861.68
  5. Step 5: Solve for x
    x = 16,445,665,861.68/145,547.76
  6. Step 6: Final answer
    x = 112,991.54

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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.