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Finding the Fourth Proportional to 205,813.60, 308,115.60 and 153,455.20

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Solution

The fourth proportional to 205,813.60, 308,115.60 and 153,455.20 is: 229,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,813.60 : 308,115.60 = 153,455.20 : x
  2. Step 2: Convert to fraction form
    205,813.60/308,115.60 = 153,455.20/x
  3. Step 3: Cross multiply
    205,813.60x = 308,115.60 × 153,455.20
  4. Step 4: Simplify right side
    205,813.60x = 47,281,941,021.12
  5. Step 5: Solve for x
    x = 47,281,941,021.12/205,813.60
  6. Step 6: Final answer
    x = 229,731.86

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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.