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Finding the Fourth Proportional to 202,488, 279,430.56 and 117,652.80

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Solution

The fourth proportional to 202,488, 279,430.56 and 117,652.80 is: 162,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,488 : 279,430.56 = 117,652.80 : x
  2. Step 2: Convert to fraction form
    202,488/279,430.56 = 117,652.80/x
  3. Step 3: Cross multiply
    202,488x = 279,430.56 × 117,652.80
  4. Step 4: Simplify right side
    202,488x = 32,875,787,789.57
  5. Step 5: Solve for x
    x = 32,875,787,789.57/202,488
  6. Step 6: Final answer
    x = 162,359.19

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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.