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Finding the Fourth Proportional to 78,578.69, 108,392.51 and 57,043.11

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Solution

The fourth proportional to 78,578.69, 108,392.51 and 57,043.11 is: 78,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.69 : 108,392.51 = 57,043.11 : x
  2. Step 2: Convert to fraction form
    78,578.69/108,392.51 = 57,043.11/x
  3. Step 3: Cross multiply
    78,578.69x = 108,392.51 × 57,043.11
  4. Step 4: Simplify right side
    78,578.69x = 6,183,046,420.19
  5. Step 5: Solve for x
    x = 6,183,046,420.19/78,578.69
  6. Step 6: Final answer
    x = 78,686.05

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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.