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Finding the Fourth Proportional to 132,461.60, 198,692.40 and 57,666.20

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Solution

The fourth proportional to 132,461.60, 198,692.40 and 57,666.20 is: 86,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,461.60 : 198,692.40 = 57,666.20 : x
  2. Step 2: Convert to fraction form
    132,461.60/198,692.40 = 57,666.20/x
  3. Step 3: Cross multiply
    132,461.60x = 198,692.40 × 57,666.20
  4. Step 4: Simplify right side
    132,461.60x = 11,457,835,676.88
  5. Step 5: Solve for x
    x = 11,457,835,676.88/132,461.60
  6. Step 6: Final answer
    x = 86,499.30

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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.