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Finding the Fourth Proportional to 134,874.75, 186,127.16 and 75,258.75

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Solution

The fourth proportional to 134,874.75, 186,127.16 and 75,258.75 is: 103,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,874.75 : 186,127.16 = 75,258.75 : x
  2. Step 2: Convert to fraction form
    134,874.75/186,127.16 = 75,258.75/x
  3. Step 3: Cross multiply
    134,874.75x = 186,127.16 × 75,258.75
  4. Step 4: Simplify right side
    134,874.75x = 14,007,697,402.65
  5. Step 5: Solve for x
    x = 14,007,697,402.65/134,874.75
  6. Step 6: Final answer
    x = 103,857.08

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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.