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Finding the Fourth Proportional to 212,564.64, 318,868.56 and 72,333.12

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Solution

The fourth proportional to 212,564.64, 318,868.56 and 72,333.12 is: 108,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,564.64 : 318,868.56 = 72,333.12 : x
  2. Step 2: Convert to fraction form
    212,564.64/318,868.56 = 72,333.12/x
  3. Step 3: Cross multiply
    212,564.64x = 318,868.56 × 72,333.12
  4. Step 4: Simplify right side
    212,564.64x = 23,064,757,814.71
  5. Step 5: Solve for x
    x = 23,064,757,814.71/212,564.64
  6. Step 6: Final answer
    x = 108,507.03

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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.