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Finding the Fourth Proportional to 100,670.40, 138,945.60 and 58,233.60

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Solution

The fourth proportional to 100,670.40, 138,945.60 and 58,233.60 is: 80,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,670.40 : 138,945.60 = 58,233.60 : x
  2. Step 2: Convert to fraction form
    100,670.40/138,945.60 = 58,233.60/x
  3. Step 3: Cross multiply
    100,670.40x = 138,945.60 × 58,233.60
  4. Step 4: Simplify right side
    100,670.40x = 8,091,302,492.16
  5. Step 5: Solve for x
    x = 8,091,302,492.16/100,670.40
  6. Step 6: Final answer
    x = 80,374.20

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Why These Related Problems?

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