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Finding the Fourth Proportional to 78,425.60, 117,634.41 and 24,389.82

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Solution

The fourth proportional to 78,425.60, 117,634.41 and 24,389.82 is: 36,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,425.60 : 117,634.41 = 24,389.82 : x
  2. Step 2: Convert to fraction form
    78,425.60/117,634.41 = 24,389.82/x
  3. Step 3: Cross multiply
    78,425.60x = 117,634.41 × 24,389.82
  4. Step 4: Simplify right side
    78,425.60x = 2,869,082,085.71
  5. Step 5: Solve for x
    x = 2,869,082,085.71/78,425.60
  6. Step 6: Final answer
    x = 36,583.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.