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Finding the Fourth Proportional to 202,711.68, 304,021.32 and 76,365

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Solution

The fourth proportional to 202,711.68, 304,021.32 and 76,365 is: 114,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,711.68 : 304,021.32 = 76,365 : x
  2. Step 2: Convert to fraction form
    202,711.68/304,021.32 = 76,365/x
  3. Step 3: Cross multiply
    202,711.68x = 304,021.32 × 76,365
  4. Step 4: Simplify right side
    202,711.68x = 23,216,588,101.80
  5. Step 5: Solve for x
    x = 23,216,588,101.80/202,711.68
  6. Step 6: Final answer
    x = 114,530.10

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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.