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Finding the Fourth Proportional to 172,386.10, 258,579.15 and 83,812.60

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Solution

The fourth proportional to 172,386.10, 258,579.15 and 83,812.60 is: 125,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,386.10 : 258,579.15 = 83,812.60 : x
  2. Step 2: Convert to fraction form
    172,386.10/258,579.15 = 83,812.60/x
  3. Step 3: Cross multiply
    172,386.10x = 258,579.15 × 83,812.60
  4. Step 4: Simplify right side
    172,386.10x = 21,672,190,867.29
  5. Step 5: Solve for x
    x = 21,672,190,867.29/172,386.10
  6. Step 6: Final answer
    x = 125,718.90

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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.