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Finding the Fourth Proportional to 84,137.60, 126,052.80 and 51,267.20

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Solution

The fourth proportional to 84,137.60, 126,052.80 and 51,267.20 is: 76,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,137.60 : 126,052.80 = 51,267.20 : x
  2. Step 2: Convert to fraction form
    84,137.60/126,052.80 = 51,267.20/x
  3. Step 3: Cross multiply
    84,137.60x = 126,052.80 × 51,267.20
  4. Step 4: Simplify right side
    84,137.60x = 6,462,374,108.16
  5. Step 5: Solve for x
    x = 6,462,374,108.16/84,137.60
  6. Step 6: Final answer
    x = 76,807.21

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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.