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Finding the Fourth Proportional to 123,985.80, 185,978.70 and 30,491.55

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Solution

The fourth proportional to 123,985.80, 185,978.70 and 30,491.55 is: 45,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,985.80 : 185,978.70 = 30,491.55 : x
  2. Step 2: Convert to fraction form
    123,985.80/185,978.70 = 30,491.55/x
  3. Step 3: Cross multiply
    123,985.80x = 185,978.70 × 30,491.55
  4. Step 4: Simplify right side
    123,985.80x = 5,670,778,829.99
  5. Step 5: Solve for x
    x = 5,670,778,829.99/123,985.80
  6. Step 6: Final answer
    x = 45,737.33

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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.