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Finding the Fourth Proportional to 78,348,549.60, 117,522,824.40 and 47,692,447.20

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Solution

The fourth proportional to 78,348,549.60, 117,522,824.40 and 47,692,447.20 is: 71,538,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348,549.60 : 117,522,824.40 = 47,692,447.20 : x
  2. Step 2: Convert to fraction form
    78,348,549.60/117,522,824.40 = 47,692,447.20/x
  3. Step 3: Cross multiply
    78,348,549.60x = 117,522,824.40 × 47,692,447.20
  4. Step 4: Simplify right side
    78,348,549.60x = 5,604,951,097,491,872
  5. Step 5: Solve for x
    x = 5,604,951,097,491,872/78,348,549.60
  6. Step 6: Final answer
    x = 71,538,670.80

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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.