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Finding the Fourth Proportional to 102,902.61, 154,356.63 and 28,024.29

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Solution

The fourth proportional to 102,902.61, 154,356.63 and 28,024.29 is: 42,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.61 : 154,356.63 = 28,024.29 : x
  2. Step 2: Convert to fraction form
    102,902.61/154,356.63 = 28,024.29/x
  3. Step 3: Cross multiply
    102,902.61x = 154,356.63 × 28,024.29
  4. Step 4: Simplify right side
    102,902.61x = 4,325,734,962.54
  5. Step 5: Solve for x
    x = 4,325,734,962.54/102,902.61
  6. Step 6: Final answer
    x = 42,037.17

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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.