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Finding the Fourth Proportional to 135,461.64, 187,028.40 and 84,551.92

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Solution

The fourth proportional to 135,461.64, 187,028.40 and 84,551.92 is: 116,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,461.64 : 187,028.40 = 84,551.92 : x
  2. Step 2: Convert to fraction form
    135,461.64/187,028.40 = 84,551.92/x
  3. Step 3: Cross multiply
    135,461.64x = 187,028.40 × 84,551.92
  4. Step 4: Simplify right side
    135,461.64x = 15,813,610,314.53
  5. Step 5: Solve for x
    x = 15,813,610,314.53/135,461.64
  6. Step 6: Final answer
    x = 116,738.66

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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.