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Finding the Fourth Proportional to 102,761.84, 153,899.76 and 87,598.64

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Solution

The fourth proportional to 102,761.84, 153,899.76 and 87,598.64 is: 131,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,761.84 : 153,899.76 = 87,598.64 : x
  2. Step 2: Convert to fraction form
    102,761.84/153,899.76 = 87,598.64/x
  3. Step 3: Cross multiply
    102,761.84x = 153,899.76 × 87,598.64
  4. Step 4: Simplify right side
    102,761.84x = 13,481,409,672.33
  5. Step 5: Solve for x
    x = 13,481,409,672.33/102,761.84
  6. Step 6: Final answer
    x = 131,190.82

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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.