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Finding the Fourth Proportional to 212,472.84, 318,754.74 and 86,111.64

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Solution

The fourth proportional to 212,472.84, 318,754.74 and 86,111.64 is: 129,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,472.84 : 318,754.74 = 86,111.64 : x
  2. Step 2: Convert to fraction form
    212,472.84/318,754.74 = 86,111.64/x
  3. Step 3: Cross multiply
    212,472.84x = 318,754.74 × 86,111.64
  4. Step 4: Simplify right side
    212,472.84x = 27,448,493,419.17
  5. Step 5: Solve for x
    x = 27,448,493,419.17/212,472.84
  6. Step 6: Final answer
    x = 129,185.89

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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.