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Finding the Fourth Proportional to 65,256, 90,053.28 and 35,448

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Solution

The fourth proportional to 65,256, 90,053.28 and 35,448 is: 48,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,256 : 90,053.28 = 35,448 : x
  2. Step 2: Convert to fraction form
    65,256/90,053.28 = 35,448/x
  3. Step 3: Cross multiply
    65,256x = 90,053.28 × 35,448
  4. Step 4: Simplify right side
    65,256x = 3,192,208,669.44
  5. Step 5: Solve for x
    x = 3,192,208,669.44/65,256
  6. Step 6: Final answer
    x = 48,918.24

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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.