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Finding the Fourth Proportional to 208,130.69, 312,004.68 and 74,978.39

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Solution

The fourth proportional to 208,130.69, 312,004.68 and 74,978.39 is: 112,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,130.69 : 312,004.68 = 74,978.39 : x
  2. Step 2: Convert to fraction form
    208,130.69/312,004.68 = 74,978.39/x
  3. Step 3: Cross multiply
    208,130.69x = 312,004.68 × 74,978.39
  4. Step 4: Simplify right side
    208,130.69x = 23,393,608,578.87
  5. Step 5: Solve for x
    x = 23,393,608,578.87/208,130.69
  6. Step 6: Final answer
    x = 112,398.65

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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.