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Finding the Fourth Proportional to 136,938.40, 205,004.40 and 102,032.80

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Solution

The fourth proportional to 136,938.40, 205,004.40 and 102,032.80 is: 152,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,938.40 : 205,004.40 = 102,032.80 : x
  2. Step 2: Convert to fraction form
    136,938.40/205,004.40 = 102,032.80/x
  3. Step 3: Cross multiply
    136,938.40x = 205,004.40 × 102,032.80
  4. Step 4: Simplify right side
    136,938.40x = 20,917,172,944.32
  5. Step 5: Solve for x
    x = 20,917,172,944.32/136,938.40
  6. Step 6: Final answer
    x = 152,748.78

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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.