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Finding the Fourth Proportional to 205,416.60, 308,124.90 and 134,557.80

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Solution

The fourth proportional to 205,416.60, 308,124.90 and 134,557.80 is: 201,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416.60 : 308,124.90 = 134,557.80 : x
  2. Step 2: Convert to fraction form
    205,416.60/308,124.90 = 134,557.80/x
  3. Step 3: Cross multiply
    205,416.60x = 308,124.90 × 134,557.80
  4. Step 4: Simplify right side
    205,416.60x = 41,460,608,669.22
  5. Step 5: Solve for x
    x = 41,460,608,669.22/205,416.60
  6. Step 6: Final answer
    x = 201,836.70

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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.