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Finding the Fourth Proportional to 78,676.85, 117,875.33 and 45,328.00

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Solution

The fourth proportional to 78,676.85, 117,875.33 and 45,328.00 is: 67,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.85 : 117,875.33 = 45,328.00 : x
  2. Step 2: Convert to fraction form
    78,676.85/117,875.33 = 45,328.00/x
  3. Step 3: Cross multiply
    78,676.85x = 117,875.33 × 45,328.00
  4. Step 4: Simplify right side
    78,676.85x = 5,343,053,218.90
  5. Step 5: Solve for x
    x = 5,343,053,218.90/78,676.85
  6. Step 6: Final answer
    x = 67,911.38

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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.