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Finding the Fourth Proportional to 204,707.64, 306,929.58 and 86,347.32

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Solution

The fourth proportional to 204,707.64, 306,929.58 and 86,347.32 is: 129,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,707.64 : 306,929.58 = 86,347.32 : x
  2. Step 2: Convert to fraction form
    204,707.64/306,929.58 = 86,347.32/x
  3. Step 3: Cross multiply
    204,707.64x = 306,929.58 × 86,347.32
  4. Step 4: Simplify right side
    204,707.64x = 26,502,546,661.73
  5. Step 5: Solve for x
    x = 26,502,546,661.73/204,707.64
  6. Step 6: Final answer
    x = 129,465.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.