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Finding the Fourth Proportional to 135,692.79, 187,133.49 and 84,710.24

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Solution

The fourth proportional to 135,692.79, 187,133.49 and 84,710.24 is: 116,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,692.79 : 187,133.49 = 84,710.24 : x
  2. Step 2: Convert to fraction form
    135,692.79/187,133.49 = 84,710.24/x
  3. Step 3: Cross multiply
    135,692.79x = 187,133.49 × 84,710.24
  4. Step 4: Simplify right side
    135,692.79x = 15,852,121,914.27
  5. Step 5: Solve for x
    x = 15,852,121,914.27/135,692.79
  6. Step 6: Final answer
    x = 116,823.61

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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.