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Finding the Fourth Proportional to 48,474.72, 72,699.12 and 13,416.30

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Solution

The fourth proportional to 48,474.72, 72,699.12 and 13,416.30 is: 20,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474.72 : 72,699.12 = 13,416.30 : x
  2. Step 2: Convert to fraction form
    48,474.72/72,699.12 = 13,416.30/x
  3. Step 3: Cross multiply
    48,474.72x = 72,699.12 × 13,416.30
  4. Step 4: Simplify right side
    48,474.72x = 975,353,203.66
  5. Step 5: Solve for x
    x = 975,353,203.66/48,474.72
  6. Step 6: Final answer
    x = 20,120.86

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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.