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Finding the Fourth Proportional to 78,390.86, 117,505.82 and 30,986.69

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Solution

The fourth proportional to 78,390.86, 117,505.82 and 30,986.69 is: 46,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390.86 : 117,505.82 = 30,986.69 : x
  2. Step 2: Convert to fraction form
    78,390.86/117,505.82 = 30,986.69/x
  3. Step 3: Cross multiply
    78,390.86x = 117,505.82 × 30,986.69
  4. Step 4: Simplify right side
    78,390.86x = 3,641,115,907.47
  5. Step 5: Solve for x
    x = 3,641,115,907.47/78,390.86
  6. Step 6: Final answer
    x = 46,448.22

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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.