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Finding the Fourth Proportional to 123,402.20, 185,103.30 and 113,779.40

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Solution

The fourth proportional to 123,402.20, 185,103.30 and 113,779.40 is: 170,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,402.20 : 185,103.30 = 113,779.40 : x
  2. Step 2: Convert to fraction form
    123,402.20/185,103.30 = 113,779.40/x
  3. Step 3: Cross multiply
    123,402.20x = 185,103.30 × 113,779.40
  4. Step 4: Simplify right side
    123,402.20x = 21,060,942,412.02
  5. Step 5: Solve for x
    x = 21,060,942,412.02/123,402.20
  6. Step 6: Final answer
    x = 170,669.10

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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.