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Finding the Fourth Proportional to 205,950.40, 308,925.60 and 72,829.60

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Solution

The fourth proportional to 205,950.40, 308,925.60 and 72,829.60 is: 109,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,950.40 : 308,925.60 = 72,829.60 : x
  2. Step 2: Convert to fraction form
    205,950.40/308,925.60 = 72,829.60/x
  3. Step 3: Cross multiply
    205,950.40x = 308,925.60 × 72,829.60
  4. Step 4: Simplify right side
    205,950.40x = 22,498,927,877.76
  5. Step 5: Solve for x
    x = 22,498,927,877.76/205,950.40
  6. Step 6: Final answer
    x = 109,244.40

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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.