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Finding the Fourth Proportional to 135,036, 186,349.68 and 75,420

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Solution

The fourth proportional to 135,036, 186,349.68 and 75,420 is: 104,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,036 : 186,349.68 = 75,420 : x
  2. Step 2: Convert to fraction form
    135,036/186,349.68 = 75,420/x
  3. Step 3: Cross multiply
    135,036x = 186,349.68 × 75,420
  4. Step 4: Simplify right side
    135,036x = 14,054,492,865.60
  5. Step 5: Solve for x
    x = 14,054,492,865.60/135,036
  6. Step 6: Final answer
    x = 104,079.60

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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.