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Finding the Fourth Proportional to 48,750, 73,125.40 and 11,814

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Solution

The fourth proportional to 48,750, 73,125.40 and 11,814 is: 17,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,750 : 73,125.40 = 11,814 : x
  2. Step 2: Convert to fraction form
    48,750/73,125.40 = 11,814/x
  3. Step 3: Cross multiply
    48,750x = 73,125.40 × 11,814
  4. Step 4: Simplify right side
    48,750x = 863,903,475.60
  5. Step 5: Solve for x
    x = 863,903,475.60/48,750
  6. Step 6: Final answer
    x = 17,721.10

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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.