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Finding the Fourth Proportional to 103,046.20, 154,569.30 and 53,109.70

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Solution

The fourth proportional to 103,046.20, 154,569.30 and 53,109.70 is: 79,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046.20 : 154,569.30 = 53,109.70 : x
  2. Step 2: Convert to fraction form
    103,046.20/154,569.30 = 53,109.70/x
  3. Step 3: Cross multiply
    103,046.20x = 154,569.30 × 53,109.70
  4. Step 4: Simplify right side
    103,046.20x = 8,209,129,152.21
  5. Step 5: Solve for x
    x = 8,209,129,152.21/103,046.20
  6. Step 6: Final answer
    x = 79,664.55

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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.