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Finding the Fourth Proportional to 134,416.40, 185,389.44 and 83,400.48

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Solution

The fourth proportional to 134,416.40, 185,389.44 and 83,400.48 is: 115,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,416.40 : 185,389.44 = 83,400.48 : x
  2. Step 2: Convert to fraction form
    134,416.40/185,389.44 = 83,400.48/x
  3. Step 3: Cross multiply
    134,416.40x = 185,389.44 × 83,400.48
  4. Step 4: Simplify right side
    134,416.40x = 15,461,568,282.93
  5. Step 5: Solve for x
    x = 15,461,568,282.93/134,416.40
  6. Step 6: Final answer
    x = 115,027.39

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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.