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Finding the Fourth Proportional to 142,745.40, 214,118.10 and 83,647.80

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Solution

The fourth proportional to 142,745.40, 214,118.10 and 83,647.80 is: 125,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.40 : 214,118.10 = 83,647.80 : x
  2. Step 2: Convert to fraction form
    142,745.40/214,118.10 = 83,647.80/x
  3. Step 3: Cross multiply
    142,745.40x = 214,118.10 × 83,647.80
  4. Step 4: Simplify right side
    142,745.40x = 17,910,508,005.18
  5. Step 5: Solve for x
    x = 17,910,508,005.18/142,745.40
  6. Step 6: Final answer
    x = 125,471.70

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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.