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Finding the Fourth Proportional to 78,584,672.20, 117,877,008.30 and 40,320,920.20

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Solution

The fourth proportional to 78,584,672.20, 117,877,008.30 and 40,320,920.20 is: 60,481,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584,672.20 : 117,877,008.30 = 40,320,920.20 : x
  2. Step 2: Convert to fraction form
    78,584,672.20/117,877,008.30 = 40,320,920.20/x
  3. Step 3: Cross multiply
    78,584,672.20x = 117,877,008.30 × 40,320,920.20
  4. Step 4: Simplify right side
    78,584,672.20x = 4,752,909,445,079,038
  5. Step 5: Solve for x
    x = 4,752,909,445,079,038/78,584,672.20
  6. Step 6: Final answer
    x = 60,481,380.30

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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.