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Finding the Fourth Proportional to 231,390, 346,952.16 and 91,072.08

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Solution

The fourth proportional to 231,390, 346,952.16 and 91,072.08 is: 136,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,390 : 346,952.16 = 91,072.08 : x
  2. Step 2: Convert to fraction form
    231,390/346,952.16 = 91,072.08/x
  3. Step 3: Cross multiply
    231,390x = 346,952.16 × 91,072.08
  4. Step 4: Simplify right side
    231,390x = 31,597,654,871.69
  5. Step 5: Solve for x
    x = 31,597,654,871.69/231,390
  6. Step 6: Final answer
    x = 136,555.84

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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.