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Finding the Fourth Proportional to 202,543.66, 279,534 and 122,011.84

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Solution

The fourth proportional to 202,543.66, 279,534 and 122,011.84 is: 168,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,543.66 : 279,534 = 122,011.84 : x
  2. Step 2: Convert to fraction form
    202,543.66/279,534 = 122,011.84/x
  3. Step 3: Cross multiply
    202,543.66x = 279,534 × 122,011.84
  4. Step 4: Simplify right side
    202,543.66x = 34,106,457,682.56
  5. Step 5: Solve for x
    x = 34,106,457,682.56/202,543.66
  6. Step 6: Final answer
    x = 168,390.65

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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.