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Finding the Fourth Proportional to 78,169.77, 117,411.56 and 46,641.36

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Solution

The fourth proportional to 78,169.77, 117,411.56 and 46,641.36 is: 70,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,169.77 : 117,411.56 = 46,641.36 : x
  2. Step 2: Convert to fraction form
    78,169.77/117,411.56 = 46,641.36/x
  3. Step 3: Cross multiply
    78,169.77x = 117,411.56 × 46,641.36
  4. Step 4: Simplify right side
    78,169.77x = 5,476,234,954.73
  5. Step 5: Solve for x
    x = 5,476,234,954.73/78,169.77
  6. Step 6: Final answer
    x = 70,055.66

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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.