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Finding the Fourth Proportional to 78,537.76, 108,340.80 and 46,684

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Solution

The fourth proportional to 78,537.76, 108,340.80 and 46,684 is: 64,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537.76 : 108,340.80 = 46,684 : x
  2. Step 2: Convert to fraction form
    78,537.76/108,340.80 = 46,684/x
  3. Step 3: Cross multiply
    78,537.76x = 108,340.80 × 46,684
  4. Step 4: Simplify right side
    78,537.76x = 5,057,781,907.20
  5. Step 5: Solve for x
    x = 5,057,781,907.20/78,537.76
  6. Step 6: Final answer
    x = 64,399.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.