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Finding the Fourth Proportional to 252,573.85, 378,531.71 and 102,638.87

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Solution

The fourth proportional to 252,573.85, 378,531.71 and 102,638.87 is: 153,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,573.85 : 378,531.71 = 102,638.87 : x
  2. Step 2: Convert to fraction form
    252,573.85/378,531.71 = 102,638.87/x
  3. Step 3: Cross multiply
    252,573.85x = 378,531.71 × 102,638.87
  4. Step 4: Simplify right side
    252,573.85x = 38,852,066,973.57
  5. Step 5: Solve for x
    x = 38,852,066,973.57/252,573.85
  6. Step 6: Final answer
    x = 153,824.58

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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.