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Finding the Fourth Proportional to 115,447, 159,319.32 and 63,763.84

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Solution

The fourth proportional to 115,447, 159,319.32 and 63,763.84 is: 87,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,447 : 159,319.32 = 63,763.84 : x
  2. Step 2: Convert to fraction form
    115,447/159,319.32 = 63,763.84/x
  3. Step 3: Cross multiply
    115,447x = 159,319.32 × 63,763.84
  4. Step 4: Simplify right side
    115,447x = 10,158,811,629.39
  5. Step 5: Solve for x
    x = 10,158,811,629.39/115,447
  6. Step 6: Final answer
    x = 87,995.46

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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.