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Finding the Fourth Proportional to 105,232.66, 158,559.38 and 86,922.88

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Solution

The fourth proportional to 105,232.66, 158,559.38 and 86,922.88 is: 130,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,232.66 : 158,559.38 = 86,922.88 : x
  2. Step 2: Convert to fraction form
    105,232.66/158,559.38 = 86,922.88/x
  3. Step 3: Cross multiply
    105,232.66x = 158,559.38 × 86,922.88
  4. Step 4: Simplify right side
    105,232.66x = 13,782,437,960.61
  5. Step 5: Solve for x
    x = 13,782,437,960.61/105,232.66
  6. Step 6: Final answer
    x = 130,971.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.