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Finding the Fourth Proportional to 123,478.80, 185,261.40 and 53,408.40

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Solution

The fourth proportional to 123,478.80, 185,261.40 and 53,408.40 is: 80,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,478.80 : 185,261.40 = 53,408.40 : x
  2. Step 2: Convert to fraction form
    123,478.80/185,261.40 = 53,408.40/x
  3. Step 3: Cross multiply
    123,478.80x = 185,261.40 × 53,408.40
  4. Step 4: Simplify right side
    123,478.80x = 9,894,514,955.76
  5. Step 5: Solve for x
    x = 9,894,514,955.76/123,478.80
  6. Step 6: Final answer
    x = 80,131.29

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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.