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Finding the Fourth Proportional to 92,016, 138,056.40 and 45,301.68

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Solution

The fourth proportional to 92,016, 138,056.40 and 45,301.68 is: 67,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,016 : 138,056.40 = 45,301.68 : x
  2. Step 2: Convert to fraction form
    92,016/138,056.40 = 45,301.68/x
  3. Step 3: Cross multiply
    92,016x = 138,056.40 × 45,301.68
  4. Step 4: Simplify right side
    92,016x = 6,254,186,854.75
  5. Step 5: Solve for x
    x = 6,254,186,854.75/92,016
  6. Step 6: Final answer
    x = 67,968.47

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