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Finding the Fourth Proportional to 78,676.29, 118,117.31 and 46,713.70

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Solution

The fourth proportional to 78,676.29, 118,117.31 and 46,713.70 is: 70,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.29 : 118,117.31 = 46,713.70 : x
  2. Step 2: Convert to fraction form
    78,676.29/118,117.31 = 46,713.70/x
  3. Step 3: Cross multiply
    78,676.29x = 118,117.31 × 46,713.70
  4. Step 4: Simplify right side
    78,676.29x = 5,517,696,726.27
  5. Step 5: Solve for x
    x = 5,517,696,726.27/78,676.29
  6. Step 6: Final answer
    x = 70,131.64

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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.