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Finding the Fourth Proportional to 123,689.60, 185,409.78 and 48,780.80

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Solution

The fourth proportional to 123,689.60, 185,409.78 and 48,780.80 is: 73,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,689.60 : 185,409.78 = 48,780.80 : x
  2. Step 2: Convert to fraction form
    123,689.60/185,409.78 = 48,780.80/x
  3. Step 3: Cross multiply
    123,689.60x = 185,409.78 × 48,780.80
  4. Step 4: Simplify right side
    123,689.60x = 9,044,437,396.22
  5. Step 5: Solve for x
    x = 9,044,437,396.22/123,689.60
  6. Step 6: Final answer
    x = 73,122.05

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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.