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Finding the Fourth Proportional to 202,428, 303,434.64 and 84,168

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Solution

The fourth proportional to 202,428, 303,434.64 and 84,168 is: 126,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,428 : 303,434.64 = 84,168 : x
  2. Step 2: Convert to fraction form
    202,428/303,434.64 = 84,168/x
  3. Step 3: Cross multiply
    202,428x = 303,434.64 × 84,168
  4. Step 4: Simplify right side
    202,428x = 25,539,486,779.52
  5. Step 5: Solve for x
    x = 25,539,486,779.52/202,428
  6. Step 6: Final answer
    x = 126,165.78

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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.