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Finding the Fourth Proportional to 115,825.17, 159,838.79 and 64,838

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Solution

The fourth proportional to 115,825.17, 159,838.79 and 64,838 is: 89,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,825.17 : 159,838.79 = 64,838 : x
  2. Step 2: Convert to fraction form
    115,825.17/159,838.79 = 64,838/x
  3. Step 3: Cross multiply
    115,825.17x = 159,838.79 × 64,838
  4. Step 4: Simplify right side
    115,825.17x = 10,363,627,466.02
  5. Step 5: Solve for x
    x = 10,363,627,466.02/115,825.17
  6. Step 6: Final answer
    x = 89,476.47

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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.