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Finding the Fourth Proportional to 212,551.84, 318,396.64 and 98,539.32

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Solution

The fourth proportional to 212,551.84, 318,396.64 and 98,539.32 is: 147,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,551.84 : 318,396.64 = 98,539.32 : x
  2. Step 2: Convert to fraction form
    212,551.84/318,396.64 = 98,539.32/x
  3. Step 3: Cross multiply
    212,551.84x = 318,396.64 × 98,539.32
  4. Step 4: Simplify right side
    212,551.84x = 31,374,588,395.88
  5. Step 5: Solve for x
    x = 31,374,588,395.88/212,551.84
  6. Step 6: Final answer
    x = 147,609.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.