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Finding the Fourth Proportional to 201,886.02, 302,831.35 and 86,464.89

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Solution

The fourth proportional to 201,886.02, 302,831.35 and 86,464.89 is: 129,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886.02 : 302,831.35 = 86,464.89 : x
  2. Step 2: Convert to fraction form
    201,886.02/302,831.35 = 86,464.89/x
  3. Step 3: Cross multiply
    201,886.02x = 302,831.35 × 86,464.89
  4. Step 4: Simplify right side
    201,886.02x = 26,184,279,366.30
  5. Step 5: Solve for x
    x = 26,184,279,366.30/201,886.02
  6. Step 6: Final answer
    x = 129,698.33

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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.