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Finding the Fourth Proportional to 87,202.84, 120,362.93 and 51,416.69

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Solution

The fourth proportional to 87,202.84, 120,362.93 and 51,416.69 is: 70,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,202.84 : 120,362.93 = 51,416.69 : x
  2. Step 2: Convert to fraction form
    87,202.84/120,362.93 = 51,416.69/x
  3. Step 3: Cross multiply
    87,202.84x = 120,362.93 × 51,416.69
  4. Step 4: Simplify right side
    87,202.84x = 6,188,663,459.30
  5. Step 5: Solve for x
    x = 6,188,663,459.30/87,202.84
  6. Step 6: Final answer
    x = 70,968.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.