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Finding the Fourth Proportional to 86,577.53, 129,696.80 and 77,173.43

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Solution

The fourth proportional to 86,577.53, 129,696.80 and 77,173.43 is: 115,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,577.53 : 129,696.80 = 77,173.43 : x
  2. Step 2: Convert to fraction form
    86,577.53/129,696.80 = 77,173.43/x
  3. Step 3: Cross multiply
    86,577.53x = 129,696.80 × 77,173.43
  4. Step 4: Simplify right side
    86,577.53x = 10,009,145,881.67
  5. Step 5: Solve for x
    x = 10,009,145,881.67/86,577.53
  6. Step 6: Final answer
    x = 115,609.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.