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Finding the Fourth Proportional to 202,700, 279,743.28 and 113,293.28

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Solution

The fourth proportional to 202,700, 279,743.28 and 113,293.28 is: 156,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,700 : 279,743.28 = 113,293.28 : x
  2. Step 2: Convert to fraction form
    202,700/279,743.28 = 113,293.28/x
  3. Step 3: Cross multiply
    202,700x = 279,743.28 × 113,293.28
  4. Step 4: Simplify right side
    202,700x = 31,693,033,749.16
  5. Step 5: Solve for x
    x = 31,693,033,749.16/202,700
  6. Step 6: Final answer
    x = 156,354.38

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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.