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Finding the Fourth Proportional to 115,248, 159,042.24 and 62,256

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Solution

The fourth proportional to 115,248, 159,042.24 and 62,256 is: 85,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,248 : 159,042.24 = 62,256 : x
  2. Step 2: Convert to fraction form
    115,248/159,042.24 = 62,256/x
  3. Step 3: Cross multiply
    115,248x = 159,042.24 × 62,256
  4. Step 4: Simplify right side
    115,248x = 9,901,333,693.44
  5. Step 5: Solve for x
    x = 9,901,333,693.44/115,248
  6. Step 6: Final answer
    x = 85,913.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.