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Finding the Fourth Proportional to 146,310, 201,907.80 and 79,242

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Solution

The fourth proportional to 146,310, 201,907.80 and 79,242 is: 109,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,310 : 201,907.80 = 79,242 : x
  2. Step 2: Convert to fraction form
    146,310/201,907.80 = 79,242/x
  3. Step 3: Cross multiply
    146,310x = 201,907.80 × 79,242
  4. Step 4: Simplify right side
    146,310x = 15,999,577,887.60
  5. Step 5: Solve for x
    x = 15,999,577,887.60/146,310
  6. Step 6: Final answer
    x = 109,353.96

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Why These Related Problems?

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