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Finding the Fourth Proportional to 172,564, 258,845.68 and 98,640.16

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Solution

The fourth proportional to 172,564, 258,845.68 and 98,640.16 is: 147,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564 : 258,845.68 = 98,640.16 : x
  2. Step 2: Convert to fraction form
    172,564/258,845.68 = 98,640.16/x
  3. Step 3: Cross multiply
    172,564x = 258,845.68 × 98,640.16
  4. Step 4: Simplify right side
    172,564x = 25,532,579,290.51
  5. Step 5: Solve for x
    x = 25,532,579,290.51/172,564
  6. Step 6: Final answer
    x = 147,960.06

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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.