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Finding the Fourth Proportional to 152,858.80, 229,093.80 and 136,140.40

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Solution

The fourth proportional to 152,858.80, 229,093.80 and 136,140.40 is: 204,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,858.80 : 229,093.80 = 136,140.40 : x
  2. Step 2: Convert to fraction form
    152,858.80/229,093.80 = 136,140.40/x
  3. Step 3: Cross multiply
    152,858.80x = 229,093.80 × 136,140.40
  4. Step 4: Simplify right side
    152,858.80x = 31,188,921,569.52
  5. Step 5: Solve for x
    x = 31,188,921,569.52/152,858.80
  6. Step 6: Final answer
    x = 204,037.46

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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.