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Finding the Fourth Proportional to 172,486.92, 258,730.44 and 77,606.28

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Solution

The fourth proportional to 172,486.92, 258,730.44 and 77,606.28 is: 116,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,486.92 : 258,730.44 = 77,606.28 : x
  2. Step 2: Convert to fraction form
    172,486.92/258,730.44 = 77,606.28/x
  3. Step 3: Cross multiply
    172,486.92x = 258,730.44 × 77,606.28
  4. Step 4: Simplify right side
    172,486.92x = 20,079,106,971.16
  5. Step 5: Solve for x
    x = 20,079,106,971.16/172,486.92
  6. Step 6: Final answer
    x = 116,409.45

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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.