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Finding the Fourth Proportional to 78,830.34, 118,142.83 and 32,028.50

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Solution

The fourth proportional to 78,830.34, 118,142.83 and 32,028.50 is: 48,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.34 : 118,142.83 = 32,028.50 : x
  2. Step 2: Convert to fraction form
    78,830.34/118,142.83 = 32,028.50/x
  3. Step 3: Cross multiply
    78,830.34x = 118,142.83 × 32,028.50
  4. Step 4: Simplify right side
    78,830.34x = 3,783,937,630.66
  5. Step 5: Solve for x
    x = 3,783,937,630.66/78,830.34
  6. Step 6: Final answer
    x = 48,001.03

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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.