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Finding the Fourth Proportional to 103,980, 156,039.12 and 38,316

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Solution

The fourth proportional to 103,980, 156,039.12 and 38,316 is: 57,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,980 : 156,039.12 = 38,316 : x
  2. Step 2: Convert to fraction form
    103,980/156,039.12 = 38,316/x
  3. Step 3: Cross multiply
    103,980x = 156,039.12 × 38,316
  4. Step 4: Simplify right side
    103,980x = 5,978,794,921.92
  5. Step 5: Solve for x
    x = 5,978,794,921.92/103,980
  6. Step 6: Final answer
    x = 57,499.47

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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.