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Finding the Fourth Proportional to 172,482.05, 258,723.09 and 77,601.39

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Solution

The fourth proportional to 172,482.05, 258,723.09 and 77,601.39 is: 116,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482.05 : 258,723.09 = 77,601.39 : x
  2. Step 2: Convert to fraction form
    172,482.05/258,723.09 = 77,601.39/x
  3. Step 3: Cross multiply
    172,482.05x = 258,723.09 × 77,601.39
  4. Step 4: Simplify right side
    172,482.05x = 20,077,271,409.10
  5. Step 5: Solve for x
    x = 20,077,271,409.10/172,482.05
  6. Step 6: Final answer
    x = 116,402.10

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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.