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Finding the Fourth Proportional to 68,066, 93,931.08 and 38,258

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Solution

The fourth proportional to 68,066, 93,931.08 and 38,258 is: 52,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,066 : 93,931.08 = 38,258 : x
  2. Step 2: Convert to fraction form
    68,066/93,931.08 = 38,258/x
  3. Step 3: Cross multiply
    68,066x = 93,931.08 × 38,258
  4. Step 4: Simplify right side
    68,066x = 3,593,615,258.64
  5. Step 5: Solve for x
    x = 3,593,615,258.64/68,066
  6. Step 6: Final answer
    x = 52,796.04

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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.