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Finding the Fourth Proportional to 78,967.50, 118,509.69 and 37,414.62

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Solution

The fourth proportional to 78,967.50, 118,509.69 and 37,414.62 is: 56,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.50 : 118,509.69 = 37,414.62 : x
  2. Step 2: Convert to fraction form
    78,967.50/118,509.69 = 37,414.62/x
  3. Step 3: Cross multiply
    78,967.50x = 118,509.69 × 37,414.62
  4. Step 4: Simplify right side
    78,967.50x = 4,433,995,017.67
  5. Step 5: Solve for x
    x = 4,433,995,017.67/78,967.50
  6. Step 6: Final answer
    x = 56,149.62

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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.