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Finding the Fourth Proportional to 121,422, 182,132.88 and 38,316

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Solution

The fourth proportional to 121,422, 182,132.88 and 38,316 is: 57,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,422 : 182,132.88 = 38,316 : x
  2. Step 2: Convert to fraction form
    121,422/182,132.88 = 38,316/x
  3. Step 3: Cross multiply
    121,422x = 182,132.88 × 38,316
  4. Step 4: Simplify right side
    121,422x = 6,978,603,430.08
  5. Step 5: Solve for x
    x = 6,978,603,430.08/121,422
  6. Step 6: Final answer
    x = 57,473.96

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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.