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Finding the Fourth Proportional to 103,424, 155,144.93 and 28,544.16

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Solution

The fourth proportional to 103,424, 155,144.93 and 28,544.16 is: 42,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,424 : 155,144.93 = 28,544.16 : x
  2. Step 2: Convert to fraction form
    103,424/155,144.93 = 28,544.16/x
  3. Step 3: Cross multiply
    103,424x = 155,144.93 × 28,544.16
  4. Step 4: Simplify right side
    103,424x = 4,428,481,705.11
  5. Step 5: Solve for x
    x = 4,428,481,705.11/103,424
  6. Step 6: Final answer
    x = 42,818.70

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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.