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Finding the Fourth Proportional to 205,043.76, 307,550.52 and 98,503.92

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Solution

The fourth proportional to 205,043.76, 307,550.52 and 98,503.92 is: 147,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,043.76 : 307,550.52 = 98,503.92 : x
  2. Step 2: Convert to fraction form
    205,043.76/307,550.52 = 98,503.92/x
  3. Step 3: Cross multiply
    205,043.76x = 307,550.52 × 98,503.92
  4. Step 4: Simplify right side
    205,043.76x = 30,294,931,818.04
  5. Step 5: Solve for x
    x = 30,294,931,818.04/205,043.76
  6. Step 6: Final answer
    x = 147,748.62

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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.