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Finding the Fourth Proportional to 86,102.68, 129,153.84 and 23,773

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Solution

The fourth proportional to 86,102.68, 129,153.84 and 23,773 is: 35,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,102.68 : 129,153.84 = 23,773 : x
  2. Step 2: Convert to fraction form
    86,102.68/129,153.84 = 23,773/x
  3. Step 3: Cross multiply
    86,102.68x = 129,153.84 × 23,773
  4. Step 4: Simplify right side
    86,102.68x = 3,070,374,238.32
  5. Step 5: Solve for x
    x = 3,070,374,238.32/86,102.68
  6. Step 6: Final answer
    x = 35,659.45

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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.