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Finding the Fourth Proportional to 202,705, 279,750.18 and 113,298.28

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Solution

The fourth proportional to 202,705, 279,750.18 and 113,298.28 is: 156,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,705 : 279,750.18 = 113,298.28 : x
  2. Step 2: Convert to fraction form
    202,705/279,750.18 = 113,298.28/x
  3. Step 3: Cross multiply
    202,705x = 279,750.18 × 113,298.28
  4. Step 4: Simplify right side
    202,705x = 31,695,214,223.69
  5. Step 5: Solve for x
    x = 31,695,214,223.69/202,705
  6. Step 6: Final answer
    x = 156,361.28

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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.