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Finding the Fourth Proportional to 202,509.81, 279,543.20 and 133,588.32

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Solution

The fourth proportional to 202,509.81, 279,543.20 and 133,588.32 is: 184,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,509.81 : 279,543.20 = 133,588.32 : x
  2. Step 2: Convert to fraction form
    202,509.81/279,543.20 = 133,588.32/x
  3. Step 3: Cross multiply
    202,509.81x = 279,543.20 × 133,588.32
  4. Step 4: Simplify right side
    202,509.81x = 37,343,705,787.48
  5. Step 5: Solve for x
    x = 37,343,705,787.48/202,509.81
  6. Step 6: Final answer
    x = 184,404.43

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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.