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Finding the Fourth Proportional to 202,030.80, 278,978.76 and 126,709.20

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Solution

The fourth proportional to 202,030.80, 278,978.76 and 126,709.20 is: 174,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,030.80 : 278,978.76 = 126,709.20 : x
  2. Step 2: Convert to fraction form
    202,030.80/278,978.76 = 126,709.20/x
  3. Step 3: Cross multiply
    202,030.80x = 278,978.76 × 126,709.20
  4. Step 4: Simplify right side
    202,030.80x = 35,349,175,496.59
  5. Step 5: Solve for x
    x = 35,349,175,496.59/202,030.80
  6. Step 6: Final answer
    x = 174,969.24

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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.