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Finding the Fourth Proportional to 115,200.45, 172,809.45 and 39,275.43

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Solution

The fourth proportional to 115,200.45, 172,809.45 and 39,275.43 is: 58,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200.45 : 172,809.45 = 39,275.43 : x
  2. Step 2: Convert to fraction form
    115,200.45/172,809.45 = 39,275.43/x
  3. Step 3: Cross multiply
    115,200.45x = 172,809.45 × 39,275.43
  4. Step 4: Simplify right side
    115,200.45x = 6,787,165,456.81
  5. Step 5: Solve for x
    x = 6,787,165,456.81/115,200.45
  6. Step 6: Final answer
    x = 58,916.14

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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.