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Finding the Fourth Proportional to 202,913, 280,020.90 and 113,489

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Solution

The fourth proportional to 202,913, 280,020.90 and 113,489 is: 156,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,913 : 280,020.90 = 113,489 : x
  2. Step 2: Convert to fraction form
    202,913/280,020.90 = 113,489/x
  3. Step 3: Cross multiply
    202,913x = 280,020.90 × 113,489
  4. Step 4: Simplify right side
    202,913x = 31,779,291,920.10
  5. Step 5: Solve for x
    x = 31,779,291,920.10/202,913
  6. Step 6: Final answer
    x = 156,615.36

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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.