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Finding the Fourth Proportional to 137,416.10, 206,102.55 and 48,656.90

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Solution

The fourth proportional to 137,416.10, 206,102.55 and 48,656.90 is: 72,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416.10 : 206,102.55 = 48,656.90 : x
  2. Step 2: Convert to fraction form
    137,416.10/206,102.55 = 48,656.90/x
  3. Step 3: Cross multiply
    137,416.10x = 206,102.55 × 48,656.90
  4. Step 4: Simplify right side
    137,416.10x = 10,028,311,165.10
  5. Step 5: Solve for x
    x = 10,028,311,165.10/137,416.10
  6. Step 6: Final answer
    x = 72,977.70

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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.