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Finding the Fourth Proportional to 134,491.41, 201,238.84 and 98,978.98

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Solution

The fourth proportional to 134,491.41, 201,238.84 and 98,978.98 is: 148,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,491.41 : 201,238.84 = 98,978.98 : x
  2. Step 2: Convert to fraction form
    134,491.41/201,238.84 = 98,978.98/x
  3. Step 3: Cross multiply
    134,491.41x = 201,238.84 × 98,978.98
  4. Step 4: Simplify right side
    134,491.41x = 19,918,414,369.04
  5. Step 5: Solve for x
    x = 19,918,414,369.04/134,491.41
  6. Step 6: Final answer
    x = 148,101.76

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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.