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Finding the Fourth Proportional to 78,029.16, 117,043.80 and 30,649.20

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Solution

The fourth proportional to 78,029.16, 117,043.80 and 30,649.20 is: 45,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,029.16 : 117,043.80 = 30,649.20 : x
  2. Step 2: Convert to fraction form
    78,029.16/117,043.80 = 30,649.20/x
  3. Step 3: Cross multiply
    78,029.16x = 117,043.80 × 30,649.20
  4. Step 4: Simplify right side
    78,029.16x = 3,587,298,834.96
  5. Step 5: Solve for x
    x = 3,587,298,834.96/78,029.16
  6. Step 6: Final answer
    x = 45,973.82

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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.