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Finding the Fourth Proportional to 135,064, 186,388.32 and 75,448

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Solution

The fourth proportional to 135,064, 186,388.32 and 75,448 is: 104,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,064 : 186,388.32 = 75,448 : x
  2. Step 2: Convert to fraction form
    135,064/186,388.32 = 75,448/x
  3. Step 3: Cross multiply
    135,064x = 186,388.32 × 75,448
  4. Step 4: Simplify right side
    135,064x = 14,062,625,967.36
  5. Step 5: Solve for x
    x = 14,062,625,967.36/135,064
  6. Step 6: Final answer
    x = 104,118.24

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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.