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Finding the Fourth Proportional to 115,825.67, 159,839.48 and 64,838.50

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Solution

The fourth proportional to 115,825.67, 159,839.48 and 64,838.50 is: 89,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,825.67 : 159,839.48 = 64,838.50 : x
  2. Step 2: Convert to fraction form
    115,825.67/159,839.48 = 64,838.50/x
  3. Step 3: Cross multiply
    115,825.67x = 159,839.48 × 64,838.50
  4. Step 4: Simplify right side
    115,825.67x = 10,363,751,886.48
  5. Step 5: Solve for x
    x = 10,363,751,886.48/115,825.67
  6. Step 6: Final answer
    x = 89,477.16

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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.