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Finding the Fourth Proportional to 115,838, 159,855.36 and 65,537

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Solution

The fourth proportional to 115,838, 159,855.36 and 65,537 is: 90,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,838 : 159,855.36 = 65,537 : x
  2. Step 2: Convert to fraction form
    115,838/159,855.36 = 65,537/x
  3. Step 3: Cross multiply
    115,838x = 159,855.36 × 65,537
  4. Step 4: Simplify right side
    115,838x = 10,476,440,728.32
  5. Step 5: Solve for x
    x = 10,476,440,728.32/115,838
  6. Step 6: Final answer
    x = 90,440.45

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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.