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Finding the Fourth Proportional to 253,864.13, 380,971.15 and 87,652.13

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Solution

The fourth proportional to 253,864.13, 380,971.15 and 87,652.13 is: 131,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,864.13 : 380,971.15 = 87,652.13 : x
  2. Step 2: Convert to fraction form
    253,864.13/380,971.15 = 87,652.13/x
  3. Step 3: Cross multiply
    253,864.13x = 380,971.15 × 87,652.13
  4. Step 4: Simplify right side
    253,864.13x = 33,392,930,642.06
  5. Step 5: Solve for x
    x = 33,392,930,642.06/253,864.13
  6. Step 6: Final answer
    x = 131,538.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.