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Finding the Fourth Proportional to 75,654, 104,405.76 and 42,120

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Solution

The fourth proportional to 75,654, 104,405.76 and 42,120 is: 58,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,654 : 104,405.76 = 42,120 : x
  2. Step 2: Convert to fraction form
    75,654/104,405.76 = 42,120/x
  3. Step 3: Cross multiply
    75,654x = 104,405.76 × 42,120
  4. Step 4: Simplify right side
    75,654x = 4,397,570,611.20
  5. Step 5: Solve for x
    x = 4,397,570,611.20/75,654
  6. Step 6: Final answer
    x = 58,127.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.