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Finding the Fourth Proportional to 172,485.92, 258,728.94 and 77,605.28

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Solution

The fourth proportional to 172,485.92, 258,728.94 and 77,605.28 is: 116,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,485.92 : 258,728.94 = 77,605.28 : x
  2. Step 2: Convert to fraction form
    172,485.92/258,728.94 = 77,605.28/x
  3. Step 3: Cross multiply
    172,485.92x = 258,728.94 × 77,605.28
  4. Step 4: Simplify right side
    172,485.92x = 20,078,731,832.80
  5. Step 5: Solve for x
    x = 20,078,731,832.80/172,485.92
  6. Step 6: Final answer
    x = 116,407.95

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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.