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Finding the Fourth Proportional to 202,588.76, 304,073.81 and 102,820.55

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Solution

The fourth proportional to 202,588.76, 304,073.81 and 102,820.55 is: 154,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,588.76 : 304,073.81 = 102,820.55 : x
  2. Step 2: Convert to fraction form
    202,588.76/304,073.81 = 102,820.55/x
  3. Step 3: Cross multiply
    202,588.76x = 304,073.81 × 102,820.55
  4. Step 4: Simplify right side
    202,588.76x = 31,265,035,876.18
  5. Step 5: Solve for x
    x = 31,265,035,876.18/202,588.76
  6. Step 6: Final answer
    x = 154,327.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.